arXiv:1603.02177 Abstract | arXiv Analytics

Published 2016-03-07Version 1

Let $G$ be a finite group with the property that if $a,b$ are commutators of coprime orders, then $|ab|=|a||b|$. We show that $G'$ is nilpotent.

Categories: math.GR

Subjects: 20D30, 20F16, 20D25

Keywords: commutator subgroup, sufficient condition, nilpotency

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