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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 Permutation representation (disambiguation) ： ウィキペディア英語版 Permutation representation (disambiguation) In mathematics, a permutation representation of a (typically finite) group $G$ can refer to two closely related notions: a representation of $G$ as a group of permutations, or as a group of permutation matrices. ==Abstract permutation representation== A permutation representation of a group $G$ on a set $X$ is a homomorphism from $G$ to the symmetric group of $X$: :$\backslash rho\backslash colon\; G\; \backslash to\; \backslash operatorname(X).$ The image $\backslash rho(G)\backslash sub\; \backslash operatorname(X)$ is a permutation group and the elements of $G$ are represented as permutations of $X$. A permutation representation is equivalent to an action of $G$ on the set $X$: :$G\backslash times\; X\; \backslash to\; X.$ See the article on group action for further details. 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「Permutation representation (disambiguation)」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.