Periodic Groups Saturated with Finite Simple Groups L4(q)

被引：3

作者：

Guo, W. ^{[1
]}

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

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

机构：

[1] Hainan Univ, Hefei Sch Sci, Univ Sci & Technol China, Sch Math Sci, Haikou, Hainan, Peoples R China

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

ALGEBRA AND LOGIC | 2022年 / 60卷 / 06期

关键词：

periodic group; locally finite group; involution; saturation;

D O I：

10.1007/s10469-022-09662-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 L-4(q), where q is odd, is isomorphic to L-4(F) for a suitable field F of odd characteristic.

引用

页码：360 / 365

页数：6