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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 Presentation complex ： ウィキペディア英語版 Presentation complex In geometric group theory, a presentation complex is a 2-dimensional cell complex associated to any presentation of a group ''G''. The complex has a single vertex, and one loop at the vertex for each generator of ''G''. There is one 2-cell for each relation in the presentation, with the boundary of the 2-cell attached along the appropriate word. == Properties == * The fundamental group of the presentation complex is the group ''G'' itself. * The universal cover of the presentation complex is a Cayley complex for ''G'', whose 1-skeleton is the Cayley graph of ''G''. * Any presentation complex for ''G'' is the 2-skeleton of an Eilenberg–Maclane space ''K''(''G'',1). 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「Presentation complex」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.