Commensurability of hyperbolic Coxeter groups: theory and computation (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)

Abstract

"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.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

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