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On locally graded groups with a word whose values are Engel
Published online by Cambridge University Press: 17 December 2015
Abstract
Let m, n be positive integers, let υ be a multilinear commutator word and let w = υm. We prove that if G is a locally graded group in which all w-values are n-Engel, then the verbal subgroup w(G) is locally nilpotent.
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- Copyright © Edinburgh Mathematical Society 2016
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