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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Demushkin group ： ウィキペディア英語版 Demushkin group 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 F''p'' = Z/''p'' Z has finite rank, the second cohomology group has rank 1, and the cup product induces a non-degenerate pairing :H1(''G'',F''p'')× H1(''G'',F''p'') → H2(''G'',F''p''). 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. ==References== * * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Demushkin group」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.