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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 Frobenius's theorem (group theory) ： ウィキペディア英語版 Frobenius's theorem (group theory) In mathematical group theory, Frobenius's theorem states that if ''n'' divides the order of a finite group ''G'', then the number of solutions of ''x''''n''=1 is divisible by ''n''. It was introduced by . ==Statement== A more general version of Frobenius's theorem states that if ''C'' is a conjugacy class with ''h'' elements of a finite group ''G'' with ''g'' elements and ''n'' is a positive integer, then the number of elements ''g'' such that ''g''''n'' is in ''C'' is a multiple of the greatest common divisor (''hn'',''g''). 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「Frobenius's theorem (group theory)」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.