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

页码：367 / 370

页数：4

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