On the commutator width of perfect groups

被引：11

作者：

Nikolov, N ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Bombay 400005, Maharashtra, India

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷

关键词：

D O I：

10.1112/S0024609303002601

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves bounds for the commutator width of a wreath product of two groups. As a corollary, it is shown that the commutator width of finite perfect linear groups of dimension 15 is unbounded. It follows that the covering number of these groups is unbounded. On the other hand, the commutator width of iterated wreath products of nonabelian finite simple groups is bounded by an absolute constant.

引用

页码：30 / 36

页数：7

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