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A Criterion for the Existence of a Solvable $\pi$-Hall Subgroup in a Finite Group. (arXiv:1810.05350v1 [math.GR])
来源于:arXiv
Let $G$ be a finite group and let $\pi$ be a set of primes. In this paper, we
prove a criterion for the existence of a solvable $\pi$-Hall subgroup of $G$,
precisely, the group $G$ has a solvable $\pi$-Hall subgroup if, and only if,
$G$ has a $\{p,q\}$-Hall subgroup for any pair $p$, $q\in\pi$. 查看全文>>