# Difference between revisions of "Fully invariant subgroup"

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<noinclude>[[Status::Semi-basic definition| ]][[Primary wiki::Groupprops| ]][[Topic::Group theory| ]]</noinclude> | <noinclude>[[Status::Semi-basic definition| ]][[Primary wiki::Groupprops| ]][[Topic::Group theory| ]]</noinclude> | ||

− | '''Fully characteristic subgroup''': A subgroup of a group that is invariant under all endomorphisms of the group. | + | '''Fully invariant subgroup''' or '''fully characteristic subgroup''': A subgroup of a group that is invariant under all endomorphisms of the group. |

− | Primary subject wiki entry: [[Groupprops:Fully | + | Primary subject wiki entry: [[Groupprops:Fully invariant subgroup]] |

Also located at: [[Wikipedia:Fully characteristic subgroup]], [[Planetmath:FullyInvariantSubgroup]] | Also located at: [[Wikipedia:Fully characteristic subgroup]], [[Planetmath:FullyInvariantSubgroup]] |

## Latest revision as of 20:53, 11 August 2009

**Fully invariant subgroup** or **fully characteristic subgroup**: A subgroup of a group that is invariant under all endomorphisms of the group.

Primary subject wiki entry: Groupprops:Fully invariant subgroup

Also located at: Wikipedia:Fully characteristic subgroup, Planetmath:FullyInvariantSubgroup