http://dbpedia.org/ontology/abstract
|
In mathematics, in the realm of group theo … In mathematics, in the realm of group theory, an IA automorphism of a group is an automorphism that acts as identity on the abelianization. The abelianization of a group is its quotient by its commutator subgroup. An IA automorphism is thus an automorphism that sends each coset of the commutator subgroup to itself. The IA automorphisms of a group form a normal subgroup of the automorphism group. Every inner automorphism is an IA automorphism. inner automorphism is an IA automorphism.
|
http://dbpedia.org/ontology/wikiPageID
|
5632475
|
http://dbpedia.org/ontology/wikiPageLength
|
982
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1073542452
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Group_theory +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Normal_subgroup +
, http://dbpedia.org/resource/Quotient_group +
, http://dbpedia.org/resource/Torelli_group +
, http://dbpedia.org/resource/Category:Group_theory +
, http://dbpedia.org/resource/Commutator_subgroup +
, http://dbpedia.org/resource/Inner_automorphism +
, http://dbpedia.org/resource/Automorphism +
, http://dbpedia.org/resource/Category:Group_automorphisms +
, http://dbpedia.org/resource/Abelianization +
, http://dbpedia.org/resource/Group_%28mathematics%29 +
, http://dbpedia.org/resource/Coset +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Reflist +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Group_theory +
, http://dbpedia.org/resource/Category:Group_automorphisms +
|
http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/Automorphism +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/IA_automorphism?oldid=1073542452&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/IA_automorphism +
|
owl:sameAs |
http://www.wikidata.org/entity/Q5968468 +
, http://rdf.freebase.com/ns/m.0dx9_s +
, https://global.dbpedia.org/id/4nXW9 +
, http://dbpedia.org/resource/IA_automorphism +
|
rdfs:comment |
In mathematics, in the realm of group theo … In mathematics, in the realm of group theory, an IA automorphism of a group is an automorphism that acts as identity on the abelianization. The abelianization of a group is its quotient by its commutator subgroup. An IA automorphism is thus an automorphism that sends each coset of the commutator subgroup to itself. The IA automorphisms of a group form a normal subgroup of the automorphism group. Every inner automorphism is an IA automorphism. inner automorphism is an IA automorphism.
|
rdfs:label |
IA automorphism
|