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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 Brauer–Fowler theorem ： ウィキペディア英語版 Brauer–Fowler theorem In mathematical finite group theory, the Brauer–Fowler theorem, proved by , states that if a group ''G'' has even order ''g'' > 2 then it has a proper subgroup of order greater than ''g''1/3. The technique of the proof is to count involutions (elements of order 2) in G. Perhaps more important is another result that the authors derive from the same count of involutions, namely that up to isomorphism there are only a finite number of finite simple groups with a given centralizer of an involution. This suggested that finite simple groups could be classified by studying their centralizers of involutions, and it led to the discovery of several sporadic groups. Later it motivated a part of the classification of finite simple groups. ==References== * 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「Brauer–Fowler 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.