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タイトル: Commensurability of hyperbolic Coxeter groups: theory and computation (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)
著者: Guglielmetti, Rafael
Jacquemet, Matthieu
Kellerhals, Ruth
キーワード: 51F15
22E40
Hyperbolic Coxeter group
discrete reflection group
arithmetic group
commensurator amalgamated product
crystallographic group
発行日: Jun-2017
出版者: Research Institute for Mathematical Sciences, Kyoto University
誌名: 数理解析研究所講究録別冊
巻: B66
開始ページ: 57
終了ページ: 113
抄録: For hyperbolic Coxeter groups of finite covolume we review and present new theoretical and computational aspects of wide commensurability. We discuss separately the arithmetic and the non-arithmetic cases. Some worked examples are added as well as a panoramic view to hyperbolic Coxeter groups and their classification.
記述: "Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22~26, 2015. edited by Michihiko Fujii, Nariya Kawazumi and Ken'ichi Ohshika. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
著作権等: © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/243693
出現コレクション:B66 Geometry and Analysis of Discrete Groups and Hyperbolic Spaces

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