Locally Finite Groups with Bounded Centralizer Chains

被引：3
|
作者：
Buturlakin, A. A. [1 ,2 ]
Vasil'ev, A. V. [1 ,2 ]
机构：
[1] Sobolev Inst Math, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
ALGEBRA AND LOGIC | 2013年 / 52卷 / 05期
关键词：
locally finite group; non-Abelian simple group; lattice of centralizers; c-dimension;
D O I：
10.1007/s10469-013-9248-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The c-dimension of a group G is the maximal length of a chain of nested centralizers in G. We prove that a locally finite group of finite c-dimension k has less than 5k non-Abelian composition factors.
引用
收藏
页码：367 / 370
页数：4
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