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arXiv · 0909.4639

Powers in finite groups

Dan Segal·Nikolay Nikolov
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Abstract

In this note we prove that if $G$ is a finitely generated profinite group then the verbal subgroup $G^{q}$ is open. Equivalently in a $d$-generator finite group every product of $q$th powers is a product of $f(d,q)$ $q$th powers.

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Dan Segal, Nikolay Nikolov. 2009-09-25. Powers in finite groups. https://arxiv.org/abs/0909.4639

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