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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 Nottingham group ： ウィキペディア英語版 Nottingham group In the mathematical field of infinite group theory, the Nottingham group is the group ''J''(F''p'') or ''N''(F''p'') consisting of formal power series ''t'' + ''a''2''t''2+... with coefficients in F''p''. The group multiplication is given by formal composition also called substitution. That is, if :$$ f = t+ \sum_^\infty a_n t^n and if $g$ is another element, then :$gf\; =\; f(g)\; =\; g+\; \backslash sum\_^\backslash infty\; a\_n\; g^n$. The group multiplication is not abelian. The group was studied number theorists as the group of wild automorphisms of the local field F''p''((t)) and by group theorists including D. and the name "Nottingham group" refers to his former domicile. This group is a finitely generated pro-''p''-group, of finite width. For every finite group of order a power of p there is a closed subgroup of the Nottingham group isomorphic to that finite group. ==See also== *Fesenko group 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「Nottingham 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.