On subgroups of hypercentral type of finite groups

Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Ballester-Bolinches, A. [verfasserIn] Ezquerro, Luis M. Skiba, Alexander N.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Normal Subgroup Finite Group Simple Group Prime Divisor Minimal Normal Subgroup

Anmerkung:	© Hebrew University Magnes Press 2014

Übergeordnetes Werk:	Enthalten in: Israel journal of mathematics - Berlin : Springer, 1963, 199(2013), 1 vom: 08. Juni, Seite 259-265
Übergeordnetes Werk:	volume:199 ; year:2013 ; number:1 ; day:08 ; month:06 ; pages:259-265

Links:	Volltext

DOI / URN:	10.1007/s11856-013-0030-y

Katalog-ID:	SPR022826084

Internformat


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100	1		\|a Ballester-Bolinches, A. \|e verfasserin \|4 aut
245	1	0	\|a On subgroups of hypercentral type of finite groups
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520			\|a Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem.
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650		4	\|a Simple Group \|7 (dpeaa)DE-He213
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700	1		\|a Ezquerro, Luis M. \|4 aut
700	1		\|a Skiba, Alexander N. \|4 aut
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856	4	0	\|u https://dx.doi.org/10.1007/s11856-013-0030-y \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
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951			\|a AR
952			\|d 199 \|j 2013 \|e 1 \|b 08 \|c 06 \|h 259-265

Indexfelder

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matchkey_str	article:15658511:2013----::nugopohpretatpo
hierarchy_sort_str	2013
publishDate	2013
allfields	10.1007/s11856-013-0030-y doi (DE-627)SPR022826084 (SPR)s11856-013-0030-y-e DE-627 ger DE-627 rakwb eng Ballester-Bolinches, A. verfasserin aut On subgroups of hypercentral type of finite groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2014 Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213 Ezquerro, Luis M. aut Skiba, Alexander N. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 199(2013), 1 vom: 08. Juni, Seite 259-265 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:199 year:2013 number:1 day:08 month:06 pages:259-265 https://dx.doi.org/10.1007/s11856-013-0030-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 199 2013 1 08 06 259-265
spelling	10.1007/s11856-013-0030-y doi (DE-627)SPR022826084 (SPR)s11856-013-0030-y-e DE-627 ger DE-627 rakwb eng Ballester-Bolinches, A. verfasserin aut On subgroups of hypercentral type of finite groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2014 Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213 Ezquerro, Luis M. aut Skiba, Alexander N. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 199(2013), 1 vom: 08. Juni, Seite 259-265 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:199 year:2013 number:1 day:08 month:06 pages:259-265 https://dx.doi.org/10.1007/s11856-013-0030-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 199 2013 1 08 06 259-265
allfields_unstemmed	10.1007/s11856-013-0030-y doi (DE-627)SPR022826084 (SPR)s11856-013-0030-y-e DE-627 ger DE-627 rakwb eng Ballester-Bolinches, A. verfasserin aut On subgroups of hypercentral type of finite groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2014 Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213 Ezquerro, Luis M. aut Skiba, Alexander N. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 199(2013), 1 vom: 08. Juni, Seite 259-265 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:199 year:2013 number:1 day:08 month:06 pages:259-265 https://dx.doi.org/10.1007/s11856-013-0030-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 199 2013 1 08 06 259-265
allfieldsGer	10.1007/s11856-013-0030-y doi (DE-627)SPR022826084 (SPR)s11856-013-0030-y-e DE-627 ger DE-627 rakwb eng Ballester-Bolinches, A. verfasserin aut On subgroups of hypercentral type of finite groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2014 Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213 Ezquerro, Luis M. aut Skiba, Alexander N. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 199(2013), 1 vom: 08. Juni, Seite 259-265 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:199 year:2013 number:1 day:08 month:06 pages:259-265 https://dx.doi.org/10.1007/s11856-013-0030-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 199 2013 1 08 06 259-265
allfieldsSound	10.1007/s11856-013-0030-y doi (DE-627)SPR022826084 (SPR)s11856-013-0030-y-e DE-627 ger DE-627 rakwb eng Ballester-Bolinches, A. verfasserin aut On subgroups of hypercentral type of finite groups 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2014 Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213 Ezquerro, Luis M. aut Skiba, Alexander N. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 199(2013), 1 vom: 08. Juni, Seite 259-265 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:199 year:2013 number:1 day:08 month:06 pages:259-265 https://dx.doi.org/10.1007/s11856-013-0030-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 199 2013 1 08 06 259-265
language	English
source	Enthalten in Israel journal of mathematics 199(2013), 1 vom: 08. Juni, Seite 259-265 volume:199 year:2013 number:1 day:08 month:06 pages:259-265
sourceStr	Enthalten in Israel journal of mathematics 199(2013), 1 vom: 08. Juni, Seite 259-265 volume:199 year:2013 number:1 day:08 month:06 pages:259-265
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Normal Subgroup Finite Group Simple Group Prime Divisor Minimal Normal Subgroup
isfreeaccess_bool	false
container_title	Israel journal of mathematics
authorswithroles_txt_mv	Ballester-Bolinches, A. @@aut@@ Ezquerro, Luis M. @@aut@@ Skiba, Alexander N. @@aut@@
publishDateDaySort_date	2013-06-08T00:00:00Z
hierarchy_top_id	32654528X
id	SPR022826084
language_de	englisch
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author	Ballester-Bolinches, A.
spellingShingle	Ballester-Bolinches, A. misc Normal Subgroup misc Finite Group misc Simple Group misc Prime Divisor misc Minimal Normal Subgroup On subgroups of hypercentral type of finite groups
authorStr	Ballester-Bolinches, A.
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topic_title	On subgroups of hypercentral type of finite groups Normal Subgroup (dpeaa)DE-He213 Finite Group (dpeaa)DE-He213 Simple Group (dpeaa)DE-He213 Prime Divisor (dpeaa)DE-He213 Minimal Normal Subgroup (dpeaa)DE-He213
topic	misc Normal Subgroup misc Finite Group misc Simple Group misc Prime Divisor misc Minimal Normal Subgroup
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title	On subgroups of hypercentral type of finite groups
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title_full	On subgroups of hypercentral type of finite groups
author_sort	Ballester-Bolinches, A.
journal	Israel journal of mathematics
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author_browse	Ballester-Bolinches, A. Ezquerro, Luis M. Skiba, Alexander N.
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author-letter	Ballester-Bolinches, A.
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title_sort	on subgroups of hypercentral type of finite groups
title_auth	On subgroups of hypercentral type of finite groups
abstract	Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. © Hebrew University Magnes Press 2014
abstractGer	Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. © Hebrew University Magnes Press 2014
abstract_unstemmed	Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. More precisely, we prove the following: Let$\mathfrak{F}$be a Baer-local formation. Given a group G and a normal subgroup E of G, let$Z_\mathfrak{F} (G)$contain a p-subgroup A of E which is maximal being abelian and of exponent dividing pk, where k is some natural number, k ≠ 1 if p = 2 and the Sylow 2-subgroups of E are non-abelian. Then E/$ O_{p′} $ (E) ≤ $Z_\mathfrak{F} $(G/$ O_{p′} $ (E)) (Theorem 1). Some well-known results turn out to be consequences of this theorem. © Hebrew University Magnes Press 2014
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title_short	On subgroups of hypercentral type of finite groups
url	https://dx.doi.org/10.1007/s11856-013-0030-y
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author2	Ezquerro, Luis M. Skiba, Alexander N.
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doi_str	10.1007/s11856-013-0030-y
up_date	2024-07-03T15:06:24.250Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR022826084</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230330070835.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201006s2013 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11856-013-0030-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR022826084</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s11856-013-0030-y-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ballester-Bolinches, A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On subgroups of hypercentral type of finite groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Hebrew University Magnes Press 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The main purpose of this paper is to analyze the influence on the structure of a finite group of some subgroups lying in the hypercenter. 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On subgroups of hypercentral type of finite groups

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