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On locally graded groups with a word whose values are Engel

Published 14 May 2013 in math.GR | (1305.3045v2)

Abstract: Let m, n be positive integers, v a multilinear commutator word and w = vm. 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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