characteristically simple group


A group G is called characteristically simple if its only characteristic subgroups are {1} and G. Any finite characteristically simple group is the direct productMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath of several copies of isomorphicPlanetmathPlanetmathPlanetmath simple groupsMathworldPlanetmathPlanetmath.

Title characteristically simple group
Canonical name CharacteristicallySimpleGroup
Date of creation 2013-03-22 13:16:58
Last modified on 2013-03-22 13:16:58
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 20D25
Synonym characteristically simple