Frattini subgroup

Let G be a group. The Φ(G) of G is the intersectionMathworldPlanetmath of all maximal subgroups of G.

Equivalently, Φ(G) is the subgroupMathworldPlanetmathPlanetmath of non-generators of G.

Title Frattini subgroupMathworldPlanetmath
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