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The restricted Burnside problem for multilinear commutators

Published online by Cambridge University Press:  01 May 2009

PAVEL SHUMYATSKY  and
JHONE CALDEIRA SILVA
PAVEL SHUMYATSKY
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900Brazil.
JHONE CALDEIRA SILVA
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900Brazil.
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Abstract

The following theorem is proved. For any positive integer n there exists t depending only on n such that if the word w is a multilinear commutator, then the class of all groups G in which w(G) is locally finite and the product of any t values of w has order dividing n is a variety.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 3 , May 2009 , pp. 603 - 613
Copyright
Copyright © Cambridge Philosophical Society 2008

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