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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]
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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.

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Type
Papers
Copyright
© The London Mathematical Society 2004

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