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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 Rank 3 permutation group ： ウィキペディア英語版 Rank 3 permutation group In mathematical finite group theory, a rank 3 permutation group acts transitively on a set such that the stabilizer of a point has 3 orbits. The study of these groups was started by . Several of the sporadic simple groups were discovered as rank 3 permutation groups. ==Classification== The primitive rank 3 permutation groups are all in one of the following classes: * classified the ones such that $T\backslash times\; T\backslash le\; G\backslash le\; T\_0\; \backslash operatorname\; Z/2Z$ where the socle ''T'' of ''T''0 is simple, and ''T''0 is a 2-transitive group of degree √''n''. * classified the ones with a regular elementary abelian normal subgroup * classified the ones whose socle is a simple alternating group * classified the ones whose socle is a simple classical group * classified the ones whose socle is a simple exceptional or sporadic 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「Rank 3 permutation group」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.