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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 Relatively hyperbolic group ： ウィキペディア英語版 Relatively hyperbolic group In mathematics, the concept of a relatively hyperbolic group is an important generalization of the geometric group theory concept of a hyperbolic group. The motivating examples of relatively hyperbolic groups are the fundamental groups of complete noncompact hyperbolic manifolds of finite volume. == Intuitive definition == A group ''G'' is relatively hyperbolic with respect to a subgroup ''H'' if, after contracting the Cayley graph of ''G'' along ''H''-cosets, the resulting graph equipped with the usual graph metric becomes a δ-hyperbolic space and, moreover, it satisfies a technical condition which implies that quasi-geodesics with common endpoints travel through approximately the same collection of cosets and enter and exit these cosets in approximately the same place. 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「Relatively hyperbolic 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.