On locally graded groups with a word whose values are Engel
Group Theory
2015-01-09 v2
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.
Keywords
Cite
@article{arxiv.1305.3045,
title = {On locally graded groups with a word whose values are Engel},
author = {Pavel Shumyatsky and Antonio Tortora and Maria Tota},
journal= {arXiv preprint arXiv:1305.3045},
year = {2015}
}
Comments
to appear in "Proceedings of the Edinburgh Mathematical Society"