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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 Nagao's theorem ： ウィキペディア英語版 Nagao's theorem In mathematics, Nagao's theorem, named after Hirosi Nagao, is a result about the structure of the group of 2-by-2 invertible matrices over the ring of polynomials over a field. It has been extended by Serre to give a description of the structure of the corresponding matrix group over the coordinate ring of a projective curve. ==Nagao's theorem== For a general ring ''R'' we let GL2(''R'') denote the group of invertible 2-by-2 matrices with entries in ''R'', and let ''R'' * denote the group of units of ''R'', and let : *, ~ b \in R }\right\rbrace. Then ''B''(''R'') is a subgroup of GL2(''R''). Nagao's theorem states that in the case that ''R'' is the ring ''K''() of polynomials in one variable over a field ''K'', the group GL2(''R'') is the amalgamated product of GL2(''K'') and ''B''(''K''()) over their intersection ''B''(''K''). 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「Nagao's theorem」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.