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arXiv · 1305.3045

On locally graded groups with a word whose values are Engel

Pavel Shumyatsky·Antonio Tortora·Maria Tota
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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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Pavel Shumyatsky, Antonio Tortora, Maria Tota. 2013-05-14. On locally graded groups with a word whose values are Engel. https://arxiv.org/abs/1305.3045

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