This article is cited in 2 papers

Products of $\pi$-nilpotent subgroups

V. N. Tyutyanov


Abstract: Let $A$ and $B$ be $\pi$-nilpotent subgroups of a finite group $G$ and suppose that $(|G:A|,p)=(|G:B|,p)=1$ for all $p\in \pi$. It is proved that if $G$ is a product of $A$ and $B$ then $G$ is a $\pi$-nilpotent group.

UDC: 512.542

MSC: Primary 20D15, 20D20; Secondary 20D40

Received: 29.06.1995

DOI: 10.4213/sm159

 English version: Sbornik: Mathematics, 1996, 187:9, 1349–1354

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