On recognizability of some finite simple orthogonal groups by spectrum

Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Alekseeva, O. A. [verfasserIn] Kondrat’ev, A. S.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2009

Schlagwörter:	finite simple group spectrum of a group prime graph recognition by spectrum orthogonal group

Anmerkung:	© Pleiades Publishing, Ltd. 2009

Übergeordnetes Werk:	Enthalten in: Proceedings of the Steklov Institute of Mathematics - Berlin : Springer Science+Business Media LLC, 2006, 266(2009), Suppl 1 vom: Sept., Seite 10-23
Übergeordnetes Werk:	volume:266 ; year:2009 ; number:Suppl 1 ; month:09 ; pages:10-23

Links:	Volltext

DOI / URN:	10.1134/S0081543809060029

Katalog-ID:	SPR020265638

Internformat


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100	1		\|a Alekseeva, O. A. \|e verfasserin \|4 aut
245	1	0	\|a On recognizability of some finite simple orthogonal groups by spectrum
264		1	\|c 2009
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500			\|a © Pleiades Publishing, Ltd. 2009
520			\|a Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2.
650		4	\|a finite simple group \|7 (dpeaa)DE-He213
650		4	\|a spectrum of a group \|7 (dpeaa)DE-He213
650		4	\|a prime graph \|7 (dpeaa)DE-He213
650		4	\|a recognition by spectrum \|7 (dpeaa)DE-He213
650		4	\|a orthogonal group \|7 (dpeaa)DE-He213
700	1		\|a Kondrat’ev, A. S. \|4 aut
773	0	8	\|i Enthalten in \|t Proceedings of the Steklov Institute of Mathematics \|d Berlin : Springer Science+Business Media LLC, 2006 \|g 266(2009), Suppl 1 vom: Sept., Seite 10-23 \|w (DE-627)515978507 \|w (DE-600)2244577-8 \|x 1531-8605 \|7 nnns
773	1	8	\|g volume:266 \|g year:2009 \|g number:Suppl 1 \|g month:09 \|g pages:10-23
856	4	0	\|u https://dx.doi.org/10.1134/S0081543809060029 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
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
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 266 \|j 2009 \|e Suppl 1 \|c 09 \|h 10-23

Indexfelder

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matchkey_str	article:15318605:2009----::neonzbltosmfntsmlotooa
hierarchy_sort_str	2009
publishDate	2009
allfields	10.1134/S0081543809060029 doi (DE-627)SPR020265638 (SPR)S0081543809060029-e DE-627 ger DE-627 rakwb eng Alekseeva, O. A. verfasserin aut On recognizability of some finite simple orthogonal groups by spectrum 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213 Kondrat’ev, A. S. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 266(2009), Suppl 1 vom: Sept., Seite 10-23 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:266 year:2009 number:Suppl 1 month:09 pages:10-23 https://dx.doi.org/10.1134/S0081543809060029 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 266 2009 Suppl 1 09 10-23
spelling	10.1134/S0081543809060029 doi (DE-627)SPR020265638 (SPR)S0081543809060029-e DE-627 ger DE-627 rakwb eng Alekseeva, O. A. verfasserin aut On recognizability of some finite simple orthogonal groups by spectrum 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213 Kondrat’ev, A. S. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 266(2009), Suppl 1 vom: Sept., Seite 10-23 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:266 year:2009 number:Suppl 1 month:09 pages:10-23 https://dx.doi.org/10.1134/S0081543809060029 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 266 2009 Suppl 1 09 10-23
allfields_unstemmed	10.1134/S0081543809060029 doi (DE-627)SPR020265638 (SPR)S0081543809060029-e DE-627 ger DE-627 rakwb eng Alekseeva, O. A. verfasserin aut On recognizability of some finite simple orthogonal groups by spectrum 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213 Kondrat’ev, A. S. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 266(2009), Suppl 1 vom: Sept., Seite 10-23 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:266 year:2009 number:Suppl 1 month:09 pages:10-23 https://dx.doi.org/10.1134/S0081543809060029 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 266 2009 Suppl 1 09 10-23
allfieldsGer	10.1134/S0081543809060029 doi (DE-627)SPR020265638 (SPR)S0081543809060029-e DE-627 ger DE-627 rakwb eng Alekseeva, O. A. verfasserin aut On recognizability of some finite simple orthogonal groups by spectrum 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213 Kondrat’ev, A. S. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 266(2009), Suppl 1 vom: Sept., Seite 10-23 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:266 year:2009 number:Suppl 1 month:09 pages:10-23 https://dx.doi.org/10.1134/S0081543809060029 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 266 2009 Suppl 1 09 10-23
allfieldsSound	10.1134/S0081543809060029 doi (DE-627)SPR020265638 (SPR)S0081543809060029-e DE-627 ger DE-627 rakwb eng Alekseeva, O. A. verfasserin aut On recognizability of some finite simple orthogonal groups by spectrum 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2009 Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213 Kondrat’ev, A. S. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 266(2009), Suppl 1 vom: Sept., Seite 10-23 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:266 year:2009 number:Suppl 1 month:09 pages:10-23 https://dx.doi.org/10.1134/S0081543809060029 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 266 2009 Suppl 1 09 10-23
language	English
source	Enthalten in Proceedings of the Steklov Institute of Mathematics 266(2009), Suppl 1 vom: Sept., Seite 10-23 volume:266 year:2009 number:Suppl 1 month:09 pages:10-23
sourceStr	Enthalten in Proceedings of the Steklov Institute of Mathematics 266(2009), Suppl 1 vom: Sept., Seite 10-23 volume:266 year:2009 number:Suppl 1 month:09 pages:10-23
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	finite simple group spectrum of a group prime graph recognition by spectrum orthogonal group
isfreeaccess_bool	false
container_title	Proceedings of the Steklov Institute of Mathematics
authorswithroles_txt_mv	Alekseeva, O. A. @@aut@@ Kondrat’ev, A. S. @@aut@@
publishDateDaySort_date	2009-09-01T00:00:00Z
hierarchy_top_id	515978507
id	SPR020265638
language_de	englisch
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author	Alekseeva, O. A.
spellingShingle	Alekseeva, O. A. misc finite simple group misc spectrum of a group misc prime graph misc recognition by spectrum misc orthogonal group On recognizability of some finite simple orthogonal groups by spectrum
authorStr	Alekseeva, O. A.
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topic_title	On recognizability of some finite simple orthogonal groups by spectrum finite simple group (dpeaa)DE-He213 spectrum of a group (dpeaa)DE-He213 prime graph (dpeaa)DE-He213 recognition by spectrum (dpeaa)DE-He213 orthogonal group (dpeaa)DE-He213
topic	misc finite simple group misc spectrum of a group misc prime graph misc recognition by spectrum misc orthogonal group
topic_unstemmed	misc finite simple group misc spectrum of a group misc prime graph misc recognition by spectrum misc orthogonal group
topic_browse	misc finite simple group misc spectrum of a group misc prime graph misc recognition by spectrum misc orthogonal group
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	On recognizability of some finite simple orthogonal groups by spectrum
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title_full	On recognizability of some finite simple orthogonal groups by spectrum
author_sort	Alekseeva, O. A.
journal	Proceedings of the Steklov Institute of Mathematics
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author_browse	Alekseeva, O. A. Kondrat’ev, A. S.
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format_se	Elektronische Aufsätze
author-letter	Alekseeva, O. A.
doi_str_mv	10.1134/S0081543809060029
title_sort	on recognizability of some finite simple orthogonal groups by spectrum
title_auth	On recognizability of some finite simple orthogonal groups by spectrum
abstract	Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. © Pleiades Publishing, Ltd. 2009
abstractGer	Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. © Pleiades Publishing, Ltd. 2009
abstract_unstemmed	Abstract It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and \|G/G′\| ≤ 2. © Pleiades Publishing, Ltd. 2009
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title_short	On recognizability of some finite simple orthogonal groups by spectrum
url	https://dx.doi.org/10.1134/S0081543809060029
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author2	Kondrat’ev, A. S.
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doi_str	10.1134/S0081543809060029
up_date	2024-07-03T14:57:53.084Z
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On recognizability of some finite simple orthogonal groups by spectrum

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