Periodic groups acting freely on abelian groups

Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can...
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Autor*in:	Zhurtov, A. Kh. [verfasserIn] Lytkina, D. V. Mazurov, V. D. Sozutov, A. I.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	periodic group abelian group free action local finiteness

Anmerkung:	© Pleiades Publishing, Ltd. 2014

Übergeordnetes Werk:	Enthalten in: Proceedings of the Steklov Institute of Mathematics - Berlin : Springer Science+Business Media LLC, 2006, 285(2014), Suppl 1 vom: Juni, Seite 209-215
Übergeordnetes Werk:	volume:285 ; year:2014 ; number:Suppl 1 ; month:06 ; pages:209-215

Links:	Volltext

DOI / URN:	10.1134/S008154381405023X

Katalog-ID:	SPR020273398

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520			\|a Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group.
650		4	\|a periodic group \|7 (dpeaa)DE-He213
650		4	\|a abelian group \|7 (dpeaa)DE-He213
650		4	\|a free action \|7 (dpeaa)DE-He213
650		4	\|a local finiteness \|7 (dpeaa)DE-He213
700	1		\|a Lytkina, D. V. \|4 aut
700	1		\|a Mazurov, V. D. \|4 aut
700	1		\|a Sozutov, A. I. \|4 aut
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856	4	0	\|u https://dx.doi.org/10.1134/S008154381405023X \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_60
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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
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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_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_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
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912			\|a GBV_ILN_4336
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allfields	10.1134/S008154381405023X doi (DE-627)SPR020273398 (SPR)S008154381405023X-e DE-627 ger DE-627 rakwb eng Zhurtov, A. Kh. verfasserin aut Periodic groups acting freely on abelian groups 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213 Lytkina, D. V. aut Mazurov, V. D. aut Sozutov, A. I. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 285(2014), Suppl 1 vom: Juni, Seite 209-215 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:285 year:2014 number:Suppl 1 month:06 pages:209-215 https://dx.doi.org/10.1134/S008154381405023X 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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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 285 2014 Suppl 1 06 209-215
spelling	10.1134/S008154381405023X doi (DE-627)SPR020273398 (SPR)S008154381405023X-e DE-627 ger DE-627 rakwb eng Zhurtov, A. Kh. verfasserin aut Periodic groups acting freely on abelian groups 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213 Lytkina, D. V. aut Mazurov, V. D. aut Sozutov, A. I. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 285(2014), Suppl 1 vom: Juni, Seite 209-215 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:285 year:2014 number:Suppl 1 month:06 pages:209-215 https://dx.doi.org/10.1134/S008154381405023X 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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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 285 2014 Suppl 1 06 209-215
allfields_unstemmed	10.1134/S008154381405023X doi (DE-627)SPR020273398 (SPR)S008154381405023X-e DE-627 ger DE-627 rakwb eng Zhurtov, A. Kh. verfasserin aut Periodic groups acting freely on abelian groups 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213 Lytkina, D. V. aut Mazurov, V. D. aut Sozutov, A. I. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 285(2014), Suppl 1 vom: Juni, Seite 209-215 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:285 year:2014 number:Suppl 1 month:06 pages:209-215 https://dx.doi.org/10.1134/S008154381405023X 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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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 285 2014 Suppl 1 06 209-215
allfieldsGer	10.1134/S008154381405023X doi (DE-627)SPR020273398 (SPR)S008154381405023X-e DE-627 ger DE-627 rakwb eng Zhurtov, A. Kh. verfasserin aut Periodic groups acting freely on abelian groups 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213 Lytkina, D. V. aut Mazurov, V. D. aut Sozutov, A. I. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 285(2014), Suppl 1 vom: Juni, Seite 209-215 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:285 year:2014 number:Suppl 1 month:06 pages:209-215 https://dx.doi.org/10.1134/S008154381405023X 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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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 285 2014 Suppl 1 06 209-215
allfieldsSound	10.1134/S008154381405023X doi (DE-627)SPR020273398 (SPR)S008154381405023X-e DE-627 ger DE-627 rakwb eng Zhurtov, A. Kh. verfasserin aut Periodic groups acting freely on abelian groups 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213 Lytkina, D. V. aut Mazurov, V. D. aut Sozutov, A. I. aut Enthalten in Proceedings of the Steklov Institute of Mathematics Berlin : Springer Science+Business Media LLC, 2006 285(2014), Suppl 1 vom: Juni, Seite 209-215 (DE-627)515978507 (DE-600)2244577-8 1531-8605 nnns volume:285 year:2014 number:Suppl 1 month:06 pages:209-215 https://dx.doi.org/10.1134/S008154381405023X 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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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 285 2014 Suppl 1 06 209-215
language	English
source	Enthalten in Proceedings of the Steklov Institute of Mathematics 285(2014), Suppl 1 vom: Juni, Seite 209-215 volume:285 year:2014 number:Suppl 1 month:06 pages:209-215
sourceStr	Enthalten in Proceedings of the Steklov Institute of Mathematics 285(2014), Suppl 1 vom: Juni, Seite 209-215 volume:285 year:2014 number:Suppl 1 month:06 pages:209-215
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	periodic group abelian group free action local finiteness
isfreeaccess_bool	false
container_title	Proceedings of the Steklov Institute of Mathematics
authorswithroles_txt_mv	Zhurtov, A. Kh. @@aut@@ Lytkina, D. V. @@aut@@ Mazurov, V. D. @@aut@@ Sozutov, A. I. @@aut@@
publishDateDaySort_date	2014-06-01T00:00:00Z
hierarchy_top_id	515978507
id	SPR020273398
language_de	englisch
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author	Zhurtov, A. Kh.
spellingShingle	Zhurtov, A. Kh. misc periodic group misc abelian group misc free action misc local finiteness Periodic groups acting freely on abelian groups
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topic_title	Periodic groups acting freely on abelian groups periodic group (dpeaa)DE-He213 abelian group (dpeaa)DE-He213 free action (dpeaa)DE-He213 local finiteness (dpeaa)DE-He213
topic	misc periodic group misc abelian group misc free action misc local finiteness
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title	Periodic groups acting freely on abelian groups
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title_full	Periodic groups acting freely on abelian groups
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journal	Proceedings of the Steklov Institute of Mathematics
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author_browse	Zhurtov, A. Kh. Lytkina, D. V. Mazurov, V. D. Sozutov, A. I.
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format_se	Elektronische Aufsätze
author-letter	Zhurtov, A. Kh.
doi_str_mv	10.1134/S008154381405023X
title_sort	periodic groups acting freely on abelian groups
title_auth	Periodic groups acting freely on abelian groups
abstract	Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. © Pleiades Publishing, Ltd. 2014
abstractGer	Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. © Pleiades Publishing, Ltd. 2014
abstract_unstemmed	Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group. © Pleiades Publishing, Ltd. 2014
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title_short	Periodic groups acting freely on abelian groups
url	https://dx.doi.org/10.1134/S008154381405023X
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author2	Lytkina, D. V. Mazurov, V. D. Sozutov, A. I.
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up_date	2024-07-03T15:00:36.100Z
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Kh.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Periodic groups acting freely on abelian groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</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">© Pleiades Publishing, Ltd. 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">periodic group</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">abelian group</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">free action</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">local finiteness</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lytkina, D. 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Periodic groups acting freely on abelian groups

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