Frattini subgroup

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

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

Title	Frattini subgroup
Canonical name	FrattiniSubgroup
Date of creation	2013-03-22 12:23:41
Last modified on	2013-03-22 12:23:41
Owner	Evandar (27)
Last modified by	Evandar (27)
Numerical id	4
Author	Evandar (27)
Entry type	Definition
Classification	msc 20E99
Related topic	SomethingRelatedToBurnsideBasisTheorem