Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-26T15:09:13.611Z Has data issue: false hasContentIssue false

ON THE COMMUTATOR WIDTH OF PERFECT GROUPS

Published online by Cambridge University Press:  23 December 2003

NIKOLAY NIKOLOV
Affiliation:
Tata Institute for Fundamental Research, Colaba, Mumbai 400 005, [email protected]
Get access

Abstract

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.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)