Involutory Automorphisms of Groups of Odd Order

被引：0
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作者：
Pavel Shumyatsky
机构：
[1] University of Brasilia,
来源：
Monatshefte für Mathematik | 2005年 / 146卷
关键词：
2000 Mathematics Subject Classifications: 20D45; Key words: Involutory automorphisms, centralizers;
D O I：
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学科分类号：
摘要：
The following theorem is proved. Let G be a finite group of odd order admitting an involutory automorphism φ. Suppose that G has derived length d and that CG(φ) is nilpotent of class c. Assume that CG(φ) is a m-generator. Then [G,φ]′ is nilpotent of {c,d,m}-bounded class.
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页码：77 / 82
页数：5
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