Locally Finite Groups with Bounded Centralizer Chains

被引：0

作者：

A. A. Buturlakin

A. V. Vasil’ev

机构：

[1] Sobolev Institute of Mathematics,

[2] Novosibirsk State University,undefined

来源：

Algebra and Logic | 2013年 / 52卷

关键词：

locally finite group; non-Abelian simple group; lattice of centralizers; -dimension;

D O I：

暂无

中图分类号：

学科分类号：

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：3

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