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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 Mennicke symbol ： ウィキペディア英語版 Mennicke symbol In mathematics, a Mennicke symbol is a map from pairs of elements of a number field to an abelian group satifying some identities found by . They were named by , who used them in their solution of the congruence subgroup problem. ==Definition== Suppose that ''A'' is a Dedekind domain and ''q'' is a non-zero ideal of ''A''. The set ''W''''q'' is defined to be the set of pairs (''a'', ''b'') with ''a'' = 1 mod ''q'', ''b'' = 0 mod ''q'', such that ''a'' and ''b'' generate the unit ideal. A Mennicke symbol on ''W''''q'' with values in a group ''C'' is a function (''a'', ''b'') →  = = if ''t'' is in ''A''. There is a universal Mennicke symbol with values in a group ''C''''q'' such that any Mennicke symbol with values in ''C'' can be obtained by composing the universal Mennicke symbol with a unique homomorphism from ''C''''q'' to ''C''. 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「Mennicke symbol」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.