Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q3630548> ?p ?o }
Showing triples 1 to 53 of
53
with 100 triples per page.
- Q3630548 subject Q7217286.
- Q3630548 subject Q8501308.
- Q3630548 abstract "In mathematics, the outer automorphism group of a group Gis 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 which is not inner is called an outer automorphism. Note that the elements of Out(G) are cosets of automorphisms of G, and not themselves automorphisms; this is an instance of the fact that quotients of groups are not in general (isomorphic to) subgroups. Elements of Out(G) are cosets of Inn(G) in Aut(G).For example, for the alternating group An, the outer automorphism group is usually the group of order 2, with exceptions noted below. Considering An as a subgroup of the symmetric group Sn conjugation by any odd permutation is an outer automorphism of An or more precisely "represents the class of the (non-trivial) outer automorphism of An", but the outer automorphism does not correspond to conjugation by any particular odd element, and all conjugations by odd elements are equivalent up to conjugation by an even element.However, for an abelian group A, the inner automorphism group is trivial and thus the automorphism group and outer automorphism group are naturally identified, and outer automorphisms do act on A.".
- Q3630548 wikiPageExternalLink v3.
- Q3630548 wikiPageWikiLink Q1006450.
- Q3630548 wikiPageWikiLink Q1047547.
- Q3630548 wikiPageWikiLink Q1064405.
- Q3630548 wikiPageWikiLink Q1138961.
- Q3630548 wikiPageWikiLink Q1139583.
- Q3630548 wikiPageWikiLink Q11498021.
- Q3630548 wikiPageWikiLink Q1169249.
- Q3630548 wikiPageWikiLink Q12503.
- Q3630548 wikiPageWikiLink Q1326955.
- Q3630548 wikiPageWikiLink Q1340623.
- Q3630548 wikiPageWikiLink Q1353233.
- Q3630548 wikiPageWikiLink Q1406425.
- Q3630548 wikiPageWikiLink Q17104294.
- Q3630548 wikiPageWikiLink Q1755512.
- Q3630548 wikiPageWikiLink Q190026.
- Q3630548 wikiPageWikiLink Q2156511.
- Q3630548 wikiPageWikiLink Q2204630.
- Q3630548 wikiPageWikiLink Q245462.
- Q3630548 wikiPageWikiLink Q263668.
- Q3630548 wikiPageWikiLink Q291126.
- Q3630548 wikiPageWikiLink Q2993334.
- Q3630548 wikiPageWikiLink Q2997419.
- Q3630548 wikiPageWikiLink Q3845212.
- Q3630548 wikiPageWikiLink Q395.
- Q3630548 wikiPageWikiLink Q42989.
- Q3630548 wikiPageWikiLink Q438814.
- Q3630548 wikiPageWikiLink Q484298.
- Q3630548 wikiPageWikiLink Q4944913.
- Q3630548 wikiPageWikiLink Q524607.
- Q3630548 wikiPageWikiLink Q534131.
- Q3630548 wikiPageWikiLink Q5535486.
- Q3630548 wikiPageWikiLink Q568687.
- Q3630548 wikiPageWikiLink Q571124.
- Q3630548 wikiPageWikiLink Q574844.
- Q3630548 wikiPageWikiLink Q662830.
- Q3630548 wikiPageWikiLink Q7111377.
- Q3630548 wikiPageWikiLink Q7217286.
- Q3630548 wikiPageWikiLink Q7391963.
- Q3630548 wikiPageWikiLink Q759832.
- Q3630548 wikiPageWikiLink Q782566.
- Q3630548 wikiPageWikiLink Q83478.
- Q3630548 wikiPageWikiLink Q840616.
- Q3630548 wikiPageWikiLink Q849512.
- Q3630548 wikiPageWikiLink Q8501308.
- Q3630548 wikiPageWikiLink Q934200.
- Q3630548 wikiPageWikiLink Q942433.
- Q3630548 wikiPageWikiLink Q968707.
- Q3630548 comment "In mathematics, the outer automorphism group of a group Gis 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 which is not inner is called an outer automorphism.".
- Q3630548 label "Outer automorphism group".