http://dbpedia.org/ontology/abstract
|
In mathematical group theory, a Demushkin … In mathematical group theory, a Demushkin group (also written as Demuškin or Demuskin) is a pro-p group G having a certain properties relating to duality in group cohomology. More precisely, G must be such that the first cohomology group with coefficients in Fp = Z/p Z has finite rank, the second cohomology group has rank 1, and the cup product induces a non-degenerate pairing H1(G,Fp)× H1(G,Fp) → H2(G,Fp). Such groups were introduced by . Demushkin groups occur as the Galois groups of the maximal p-extensions of local number fields containing all p-th roots of unity.fields containing all p-th roots of unity.
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
http://www.numdam.org/item%3Fid=SB_1962-1964__8__145_0 +
, http://gdz.sub.uni-goettingen.de/dms/resolveppn/%3FPPN=GDZPPN002099721 +
|
http://dbpedia.org/ontology/wikiPageID
|
30702045
|
http://dbpedia.org/ontology/wikiPageLength
|
1973
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1107988077
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Galois_group +
, http://dbpedia.org/resource/Inventiones_Mathematicae +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Local_number_field +
, http://dbpedia.org/resource/Pro-p_group +
, http://dbpedia.org/resource/Group_theory +
, http://dbpedia.org/resource/Soci%C3%A9t%C3%A9_Math%C3%A9matique_de_France +
, http://dbpedia.org/resource/Group_cohomology +
, http://dbpedia.org/resource/Category:Group_theory +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Citation +
, http://dbpedia.org/resource/Template:Harvtxt +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Group_theory +
|
http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/G +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Demushkin_group?oldid=1107988077&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Demushkin_group +
|
owl:sameAs |
http://rdf.freebase.com/ns/m.0g9xqqb +
, http://www.wikidata.org/entity/Q5256432 +
, https://global.dbpedia.org/id/4ijyA +
, http://dbpedia.org/resource/Demushkin_group +
|
rdf:type |
http://dbpedia.org/ontology/Device +
|
rdfs:comment |
In mathematical group theory, a Demushkin … In mathematical group theory, a Demushkin group (also written as Demuškin or Demuskin) is a pro-p group G having a certain properties relating to duality in group cohomology. More precisely, G must be such that the first cohomology group with coefficients in Fp = Z/p Z has finite rank, the second cohomology group has rank 1, and the cup product induces a non-degenerate pairing H1(G,Fp)× H1(G,Fp) → H2(G,Fp). Such groups were introduced by . Demushkin groups occur as the Galois groups of the maximal p-extensions of local number fields containing all p-th roots of unity.fields containing all p-th roots of unity.
|
rdfs:label |
Demushkin group
|