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：
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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.
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页码：367 / 370
页数：3
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