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In group theory, Matsumoto's theorem, proved by , gives conditions for two reduced words of a Coxeter group to represent the same element. ==Statement== If two reduced words represent the same element of a Coxeter group, then Matsumoto's theorem states that the first word can be transformed into the second by repeatedly transforming :''xyxy...'' to ''yxyx...'' (or vice versa) where :''xyxy... = yxyx...'' is one of the defining relations of the Coxeter 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「Matsumoto's theorem (group theory)」の詳細全文を読む スポンサード リンク
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