On the Exponent of a Verbal Subgroup in a Finite Group
Group Theory
2012-06-21 v1
Abstract
Let w be a multilinear commutator word. We prove that if e is a positive integer and G is a finite group in which any nilpotent subgroup generated by w-values has exponent dividing e then the exponent of the corresponding verbal subgroup w(G) is bounded in terms of e and w only.
Cite
@article{arxiv.1206.4353,
title = {On the Exponent of a Verbal Subgroup in a Finite Group},
author = {Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1206.4353},
year = {2012}
}
Comments
Accepted for publication in the Journal of the Australian Mathematical Society