|
This article is cited in 2 scientific papers (total 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.
Received: 29.06.1995
Citation:
V. N. Tyutyanov, “Products of $\pi$-nilpotent subgroups”, Sb. Math., 187:9 (1996), 1349–1354
Linking options:
https://www.mathnet.ru/eng/sm159https://doi.org/10.1070/SM1996v187n09ABEH000159 https://www.mathnet.ru/eng/sm/v187/i9/p97
|
|