Periodic Groups Saturated with Finite Simple Groups L4(q)

被引：0

作者：

W. Guo

D. V. Lytkina

V. D. Mazurov

机构：

[1] University of Science and Technology of China,School of Mathematical Sciences

[2] Hainan University,Hefei School of Science

[3] Sobolev Institute of Mathematics,undefined

[4] Siberian State University of Telecommunications and Information Sciences,undefined

来源：

Algebra and Logic | 2022年 / 60卷

关键词：

periodic group; locally finite group; involution; saturation;

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摘要：

If M is a set of finite groups, then a group G is said to be saturated with the set M (saturated with groups in M) if every finite subgroup of G is contained in a subgroup isomorphic to some element of M. It is proved that a periodic group with locally finite centralizers of involutions, which is saturated with a set consisting of groups L4(q), where q is odd, is isomorphic to L4(F) for a suitable field F of odd characteristic.

引用

页码：360 / 365

页数：5