Agenor Freitas de Andrade

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

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.