# Frattini argument

If $H$ is a finite normal subgroup of a group $G$, and $S$ is a Sylow subgroup of $H$, then $G=HN_{G}(S)$, where $N_{G}(S)$ is the normalizer of $S$ in $G$.

Title Frattini argument FrattiniArgument 2013-03-22 13:16:02 2013-03-22 13:16:02 bwebste (988) bwebste (988) 5 bwebste (988) Theorem msc 20D20