A Criterion for the Existence of a Solvable $\pi$-Hall Subgroup in a Finite Group

A. A. Buturlakin, A. P. Khramova

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…