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- Demushkin_group abstract "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 Demuškin (1959). Demushkin groups occur as the Galois groups of the maximal p-extensions of local number fields containing all p-th roots of unity.".
- Demushkin_group wikiPageExternalLink item?id=SB_1962-1964__8__145_0.
- Demushkin_group wikiPageID "30702045".
- Demushkin_group wikiPageRevisionID "446183669".
- Demushkin_group hasPhotoCollection Demushkin_group.
- Demushkin_group subject Category:Group_theory.
- Demushkin_group comment "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 Demuškin (1959).".
- Demushkin_group label "Demushkin group".
- Demushkin_group sameAs m.0g9xqqb.
- Demushkin_group sameAs Q5256432.
- Demushkin_group sameAs Q5256432.
- Demushkin_group wasDerivedFrom Demushkin_group?oldid=446183669.
- Demushkin_group isPrimaryTopicOf Demushkin_group.