fully invariant subgroup

A subgroupMathworldPlanetmathPlanetmath H of a group G is fully invariant if f(H)H for all endomorphismsPlanetmathPlanetmath f:GG. Such a subgroup is also called fully characteristic.

This is a stronger condition than being a characteristic subgroup.

The derived subgroup is fully invariant.

Title fully invariant subgroup
Canonical name FullyInvariantSubgroup
Date of creation 2013-03-22 13:13:07
Last modified on 2013-03-22 13:13:07
Owner mclase (549)
Last modified by mclase (549)
Numerical id 6
Author mclase (549)
Entry type Definition
Classification msc 20D99
Related topic CharacteristicSubgroup
Related topic SubnormalSubgroup
Related topic ExampleOfFullyInvariantSubgroup
Defines fully invariant
Defines fully characteristic
Defines fully characteristic subgroup