Commutators and wreath products

被引：0

作者：

Guralnick, Robert M. ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

CHARACTER THEORY OF FINITE GROUPS | 2010年 / 524卷

关键词：

Wreath product; commutators; perfect groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve a result of Isaacs by showing that if U is any nontrivial abelian subgroup of finite order and H is a finite group with derived subgroup of order at least 3, then some element of the derived subgroup of U (sic) H is not a comrimtator. In particular, if H is perfect, then the derived subgroup of U (sic) H is perfect and contains elements which are not commutators.

引用

页码：79 / 82

页数：4

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