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arXiv · 1603.02177

A Sufficient Condition for Nilpotency of the Commutator Subgroup

Raimundo Bastos·Pavel Shumyatsky
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Abstract

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.

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Raimundo Bastos, Pavel Shumyatsky. 2016-03-07. A Sufficient Condition for Nilpotency of the Commutator Subgroup. https://doi.org/10.1134/s0037446616050037

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