Frattini argument for Hall subgroups

• DOI: 10.1016/j.jalgebra.2014.04.031
• Publication Date: 2014-06-09T12:15:41Z
• Authors: Danila Olegovitch...; Evgeny Petrovitch...
• Keywords: Argument (complex analysis)

In the paper, it is proved that if a finite group $G$ possesses a $��$-Hall subgroup for a set $��$ of primes, then every normal subgroup $A$ of $G$ possesses a $��$-Hall subgroup $H$ such that ${G=AN_G(H)}$.