Characterization of Locally Finite Simple Groups of Type G2 over Fields of Odd Characteristics in the Class of Periodic Groups

被引：0

作者：

Zhu, X. ^{[1
]}

Lytkina, D., V ^{[2
]}

Mazurov, V. D. ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Nanjing 210016, Jiangsu, Peoples R China

[2] Siberian State Univ Telecommun & Informat Sci, Novosibirsk 630102, Russia

[3] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

MATHEMATICAL NOTES | 2019年 / 105卷 / 3-4期

基金：

俄罗斯科学基金会;

关键词：

periodic group; locally finite group; group of Lie type; saturation;

D O I：

10.1134/S0001434619030234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a periodic group is locally finite, given that each of its finite subgroups lies in a subgroup isomorphic to a finite simple group G(2) of Lietypeovera field of odd characteristic.

引用

页码：513 / 518

页数：6

共 50 条

[41] On finite simple classical groups over fields of different characteristics with coinciding prime graphs
Zinov'eva, M. R.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (03): : 101 - 116
[42] On finite simple classical groups over fields of different characteristics with coinciding prime graphs
M. R. Zinov’eva
Proceedings of the Steklov Institute of Mathematics, 2017, 297 : 223 - 239
[43] On Finite Simple Classical Groups over Fields of Different Characteristics with Coinciding Prime Graphs
Zinov'eva, M. R.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2017, 297 : S223 - S239
[44] FINITE SIMPLE GROUPS OF LOW 2-RANK AND FAMILIES G2(Q), D2/4(Q), Q ODD
GORENSTEIN, D
HARADA, K
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (06) : 829 - +
[45] On groups with root system of type G2
Oueslati, H.
JOURNAL OF ALGEBRA, 2008, 319 (01) : 187 - 204
[46] Groups with root system of type G2
Müller, C
JOURNAL OF ALGEBRA, 2005, 294 (02) : 552 - 568
[47] A Bryce and Cossey type theorem in a class of locally finite groups
Ballester-Bolinches, A
Camp-Mora, S
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2001, 63 (03) : 459 - 466
[48] On recognition by spectrum of finite simple linear groups over fields of characteristic 2
Vasil'ev, AV
Grechkoseeva, MA
SIBERIAN MATHEMATICAL JOURNAL, 2005, 46 (04) : 593 - 600
[49] On Recognition by Spectrum of Finite Simple Linear Groups over Fields of Characteristic 2
A. V. Vasil’ev
M. A. Grechkoseeva
Siberian Mathematical Journal, 2005, 46 : 593 - 600
[50] A CHARACTERIZATION OF FINITE SIMPLE GROUPS PSP(4,Q), G2(Q), D24(Q), .2
FONG, P
NAGOYA MATHEMATICAL JOURNAL, 1970, 39 : 39 - &

← 1 2 3 4 5 →