Characterization of Locally Finite Simple Groups of the Type 3 D 4 Over Fields of Odd Characteristic in the Class of Periodic Groups

被引：2

作者：

Wei, X. ^{[1
]}

Guo, W. ^{[2
]}

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

Mazurov, V. D. ^{[4
]}

机构：

[1] Anhui Jianzhu Univ, Dept Math & Phys, Hefei, Anhui, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China

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

[4] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

periodic group; period; locally finite group; group of Lie type; group saturated with a set of groups;

D O I：

10.1134/S0037446618050063

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 finite subgroup of the group lies in a subgroup isomorphic to a finite simple group of Lie type (3) D (4) over a field of odd characteristic.

引用

页码：799 / 804

页数：6

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