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arXiv · 1710.10712

A Sufficient Condition for Nilpotency of the Nilpotent Residual of a Finite Group

Agenor Freitas de Andrade·Alex Carrazedo Dantas
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Abstract

Let $G$ be a finite group with the property that if $a,b$ are powers of $δ_1^*$-commutators such that $(|a|,|b|)=1$, then $|ab|=|a||b|$. We show that $γ_{\infty}(G)$ is nilpotent.

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Agenor Freitas de Andrade, Alex Carrazedo Dantas. 2017-10-29. A Sufficient Condition for Nilpotency of the Nilpotent Residual of a Finite Group. https://arxiv.org/abs/1710.10712

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