Sylow 2-subgroups of the periodic groups saturated with finite simple groups

被引：0
|
作者：
B. Li
D. V. Lytkina
机构：
[1] School of Applied Mathematics,
[2] Chengdu University of Information Technology,undefined
[3] Siberian State University of Telecommunications and Information Sciences,undefined
[4] Novosibirsk State University,undefined
来源：
Siberian Mathematical Journal | 2016年 / 57卷
关键词：
group saturated with a set of groups; periodic group; Sylow subgroup;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove that every 2-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.
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页码：1029 / 1033
页数：4
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