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 28 条

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[27] On recognition of the finite simple groups L2(2m) in the class of all groups
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[28] On recognition of the finite simple groupsL2(2m) in the class of all groups
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