# Frattini subgroup

Let $G$ be a group. The $\Phi(G)$ of $G$ is the intersection of all maximal subgroups of $G$.

Equivalently, $\Phi(G)$ is the subgroup of non-generators of $G$.

Title Frattini subgroup FrattiniSubgroup 2013-03-22 12:23:41 2013-03-22 12:23:41 Evandar (27) Evandar (27) 4 Evandar (27) Definition msc 20E99 SomethingRelatedToBurnsideBasisTheorem