Outer automorphism group
id:
outer-automorphism-group-298-7083360
title:
Outer automorphism group
text:
In mathematics, the outer automorphism group of a group, G, is the quotient, Aut(G) / Inn(G), where Aut(G) is the automorphism group of G and Inn(G) is the subgroup consisting of inner automorphisms. The outer automorphism group is usually denoted Out(G). If Out(G) is trivial and G has a trivial center, then G is said to be complete. An automorphism of a group that is not inner is called an outer automorphism. The cosets of Inn(G) with respect to outer automorphisms are then the elements of Out(
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical group
original url:
https://en.wikipedia.org/wiki/Outer_automorphism_group
date created:
date modified:
2024-03-05T04:25:04Z
main entity:
{"identifier":"Q77980689","url":"https://www.wikidata.org/entity/Q77980689"}
image:
fields total:
13
integrity:
14