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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 Thompson transitivity theorem ： ウィキペディア英語版 Thompson transitivity theorem In mathematical finite group theory, the Thompson transitivity theorem gives conditions under which the centralizer of an abelian subgroup ''A'' acts transitively on certain subgroups normalized by ''A''. It originated in the proof of the odd order theorem by , where it was used to prove the Thompson uniqueness theorem. ==Statement== Suppose that ''G'' is a finite group and ''p'' a prime such that all ''p''-local subgroups are ''p''-constrained. If ''A'' is a self-centralizing normal abelian subgroup of a ''p''-Sylow subgroup such that ''A'' has rank at least 3, then the centralizer C''G''(''A'') act transitively on the maximal ''A''-invariant ''q'' subgroups of ''G'' for any prime ''q'' ≠ ''p''. 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「Thompson transitivity 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.