Abstract
AbstractLet $w$ 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.
Publisher
Cambridge University Press (CUP)
Cited by
10 articles.
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1. Strong conciseness of Engel words in profinite groups;Mathematische Nachrichten;2023-03-08
2. ON THE RANK OF A VERBAL SUBGROUP OF A FINITE GROUP;Journal of the Australian Mathematical Society;2021-05-12
3. Compact groups in which all elements have countable right Engel sinks;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2020-11-13
4. Compact groups with countable Engel sinks;Bulletin of Mathematical Sciences;2020-05-20
5. On countable coverings of word values in profinite groups;Journal of Pure and Applied Algebra;2015-04