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ON VERBAL SUBGROUPS IN RESIDUALLY FINITE GROUPS
Published online by Cambridge University Press: 10 June 2011
Abstract
The following theorem is proved. Let m, k and n be positive integers. There exists a number η=η(m,k,n) depending only on m, k and n such that if G is any residually finite group satisfying the condition that the product of any η commutators of the form [xm,y1,…,yk ] is of order dividing n, then the verbal subgroup of G corresponding to the word w=[xm,y1,…,yk ] is locally finite.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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Supported by Capes and CNPq-Brazil.
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