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ON THE COMMUTATOR WIDTH OF PERFECT GROUPS

Published online by Cambridge University Press:  23 December 2003

NIKOLAY NIKOLOV
NIKOLAY NIKOLOV
Affiliation:
Tata Institute for Fundamental Research, Colaba, Mumbai 400 005, Indianikinbg@abv.bg
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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

20E2220E45
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 30 - 36
Copyright
© The London Mathematical Society 2004

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