Groups whose all subgroups are ascendant or self-normalizing

Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally n...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kurdachenko, Leonid A. [verfasserIn] Otal, Javier Russo, Alessio Vincenzi, Giovanni

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Gruenberg group Baer group Subnormal subgroup Ascendant subgroup Abnormal subgroup Pronormal subgroup Self-normalizing subgroup Permutable subgroup

Anmerkung:	© © Versita Warsaw and Springer-Verlag Wien 2011

Übergeordnetes Werk:	Enthalten in: Central European journal of mathematics - Berlin : Springer, 2003, 9(2011), 2 vom: 01. Feb., Seite 420-432
Übergeordnetes Werk:	volume:9 ; year:2011 ; number:2 ; day:01 ; month:02 ; pages:420-432

Links:	Volltext

DOI / URN:	10.2478/s11533-011-0007-1

Katalog-ID:	SPR020637551

Internformat


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520			\|a Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16].
650		4	\|a Gruenberg group \|7 (dpeaa)DE-He213
650		4	\|a Baer group \|7 (dpeaa)DE-He213
650		4	\|a Subnormal subgroup \|7 (dpeaa)DE-He213
650		4	\|a Ascendant subgroup \|7 (dpeaa)DE-He213
650		4	\|a Abnormal subgroup \|7 (dpeaa)DE-He213
650		4	\|a Pronormal subgroup \|7 (dpeaa)DE-He213
650		4	\|a Self-normalizing subgroup \|7 (dpeaa)DE-He213
650		4	\|a Permutable subgroup \|7 (dpeaa)DE-He213
700	1		\|a Otal, Javier \|4 aut
700	1		\|a Russo, Alessio \|4 aut
700	1		\|a Vincenzi, Giovanni \|4 aut
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856	4	0	\|u https://dx.doi.org/10.2478/s11533-011-0007-1 \|z lizenzpflichtig \|3 Volltext
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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_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
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912			\|a GBV_ILN_213
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912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
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912			\|a GBV_ILN_2034
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912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2108
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
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912			\|a GBV_ILN_2153
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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_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 9 \|j 2011 \|e 2 \|b 01 \|c 02 \|h 420-432

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publishDate	2011
allfields	10.2478/s11533-011-0007-1 doi (DE-627)SPR020637551 (SPR)s11533-011-0007-1-e DE-627 ger DE-627 rakwb eng Kurdachenko, Leonid A. verfasserin aut Groups whose all subgroups are ascendant or self-normalizing 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213 Otal, Javier aut Russo, Alessio aut Vincenzi, Giovanni aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 2 vom: 01. Feb., Seite 420-432 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:2 day:01 month:02 pages:420-432 https://dx.doi.org/10.2478/s11533-011-0007-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 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_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 2 01 02 420-432
spelling	10.2478/s11533-011-0007-1 doi (DE-627)SPR020637551 (SPR)s11533-011-0007-1-e DE-627 ger DE-627 rakwb eng Kurdachenko, Leonid A. verfasserin aut Groups whose all subgroups are ascendant or self-normalizing 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213 Otal, Javier aut Russo, Alessio aut Vincenzi, Giovanni aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 2 vom: 01. Feb., Seite 420-432 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:2 day:01 month:02 pages:420-432 https://dx.doi.org/10.2478/s11533-011-0007-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 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_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 2 01 02 420-432
allfields_unstemmed	10.2478/s11533-011-0007-1 doi (DE-627)SPR020637551 (SPR)s11533-011-0007-1-e DE-627 ger DE-627 rakwb eng Kurdachenko, Leonid A. verfasserin aut Groups whose all subgroups are ascendant or self-normalizing 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213 Otal, Javier aut Russo, Alessio aut Vincenzi, Giovanni aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 2 vom: 01. Feb., Seite 420-432 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:2 day:01 month:02 pages:420-432 https://dx.doi.org/10.2478/s11533-011-0007-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 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_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 2 01 02 420-432
allfieldsGer	10.2478/s11533-011-0007-1 doi (DE-627)SPR020637551 (SPR)s11533-011-0007-1-e DE-627 ger DE-627 rakwb eng Kurdachenko, Leonid A. verfasserin aut Groups whose all subgroups are ascendant or self-normalizing 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213 Otal, Javier aut Russo, Alessio aut Vincenzi, Giovanni aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 2 vom: 01. Feb., Seite 420-432 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:2 day:01 month:02 pages:420-432 https://dx.doi.org/10.2478/s11533-011-0007-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 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_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 2 01 02 420-432
allfieldsSound	10.2478/s11533-011-0007-1 doi (DE-627)SPR020637551 (SPR)s11533-011-0007-1-e DE-627 ger DE-627 rakwb eng Kurdachenko, Leonid A. verfasserin aut Groups whose all subgroups are ascendant or self-normalizing 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213 Otal, Javier aut Russo, Alessio aut Vincenzi, Giovanni aut Enthalten in Central European journal of mathematics Berlin : Springer, 2003 9(2011), 2 vom: 01. Feb., Seite 420-432 (DE-627)358627508 (DE-600)2097190-4 1644-3616 nnns volume:9 year:2011 number:2 day:01 month:02 pages:420-432 https://dx.doi.org/10.2478/s11533-011-0007-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 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_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2011 2 01 02 420-432
language	English
source	Enthalten in Central European journal of mathematics 9(2011), 2 vom: 01. Feb., Seite 420-432 volume:9 year:2011 number:2 day:01 month:02 pages:420-432
sourceStr	Enthalten in Central European journal of mathematics 9(2011), 2 vom: 01. Feb., Seite 420-432 volume:9 year:2011 number:2 day:01 month:02 pages:420-432
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Gruenberg group Baer group Subnormal subgroup Ascendant subgroup Abnormal subgroup Pronormal subgroup Self-normalizing subgroup Permutable subgroup
isfreeaccess_bool	false
container_title	Central European journal of mathematics
authorswithroles_txt_mv	Kurdachenko, Leonid A. @@aut@@ Otal, Javier @@aut@@ Russo, Alessio @@aut@@ Vincenzi, Giovanni @@aut@@
publishDateDaySort_date	2011-02-01T00:00:00Z
hierarchy_top_id	358627508
id	SPR020637551
language_de	englisch
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author	Kurdachenko, Leonid A.
spellingShingle	Kurdachenko, Leonid A. misc Gruenberg group misc Baer group misc Subnormal subgroup misc Ascendant subgroup misc Abnormal subgroup misc Pronormal subgroup misc Self-normalizing subgroup misc Permutable subgroup Groups whose all subgroups are ascendant or self-normalizing
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topic_title	Groups whose all subgroups are ascendant or self-normalizing Gruenberg group (dpeaa)DE-He213 Baer group (dpeaa)DE-He213 Subnormal subgroup (dpeaa)DE-He213 Ascendant subgroup (dpeaa)DE-He213 Abnormal subgroup (dpeaa)DE-He213 Pronormal subgroup (dpeaa)DE-He213 Self-normalizing subgroup (dpeaa)DE-He213 Permutable subgroup (dpeaa)DE-He213
topic	misc Gruenberg group misc Baer group misc Subnormal subgroup misc Ascendant subgroup misc Abnormal subgroup misc Pronormal subgroup misc Self-normalizing subgroup misc Permutable subgroup
topic_unstemmed	misc Gruenberg group misc Baer group misc Subnormal subgroup misc Ascendant subgroup misc Abnormal subgroup misc Pronormal subgroup misc Self-normalizing subgroup misc Permutable subgroup
topic_browse	misc Gruenberg group misc Baer group misc Subnormal subgroup misc Ascendant subgroup misc Abnormal subgroup misc Pronormal subgroup misc Self-normalizing subgroup misc Permutable subgroup
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title	Groups whose all subgroups are ascendant or self-normalizing
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title_full	Groups whose all subgroups are ascendant or self-normalizing
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author_browse	Kurdachenko, Leonid A. Otal, Javier Russo, Alessio Vincenzi, Giovanni
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title_sort	groups whose all subgroups are ascendant or self-normalizing
title_auth	Groups whose all subgroups are ascendant or self-normalizing
abstract	Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. © © Versita Warsaw and Springer-Verlag Wien 2011
abstractGer	Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. © © Versita Warsaw and Springer-Verlag Wien 2011
abstract_unstemmed	Abstract This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups, Math. Z., 1972, 125(1), 1–16]. © © Versita Warsaw and Springer-Verlag Wien 2011
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title_short	Groups whose all subgroups are ascendant or self-normalizing
url	https://dx.doi.org/10.2478/s11533-011-0007-1
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