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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 generalized symmetric group ： ウィキペディア英語版 generalized symmetric group In mathematics, the generalized symmetric group is the wreath product $S(m,n)\; :=\; Z\_m\; \backslash wr\; S\_n$ of the cyclic group of order ''m'' and the symmetric group on ''n'' letters. == Examples == * For $m=1,$ the generalized symmetric group is exactly the ordinary symmetric group: $S(1,n)\; =\; S\_n.$ * For $m=2,$ one can consider the cyclic group of order 2 as positives and negatives ($Z\_2\; \backslash cong\; \backslash$) and identify the generalized symmetric group $S(2,n)$ with the signed symmetric 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「generalized symmetric 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.