On locally graded groups with a word whose values are Engel

2013/05/14 by Pavel Shumyatsky, Shumyatsky, Pavel, Antonio Tortora +3
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1305.3045

to appear in "Proceedings of the Edinburgh Mathematical Society"

arxiv created 2015/01/08 · arxiv updated 2015/01/09

Abstract

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