Powers in finite groups

Details Powers in finite groups Powers in finite groups

2009-09-25

arxiv.org/abs/0909.4639v1

Mathematics

Group Theory

7 pages

Scientific paper

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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