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CoxIter – Computing invariants of hyperbolic Coxeter groups

Part of: Special aspects of infinite or finite groups Polytopes and polyhedra

Published online by Cambridge University Press:  01 December 2015

R. Guglielmetti
R. Guglielmetti*
Affiliation:
Université de Fribourg, Chemin du Musée 23, CH-1700 Fribourg, Switzerland email [email protected]

Abstract

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CoxIter is a computer program designed to compute invariants of hyperbolic Coxeter groups. Given such a group, the program determines whether it is cocompact or of finite covolume, whether it is arithmetic in the non-cocompact case, and whether it provides the Euler characteristic and the combinatorial structure of the associated fundamental polyhedron. The aim of this paper is to present the theoretical background for the program. The source code is available online as supplementary material with the published article and on the author’s website (http://coxiter.rgug.ch).

Supplementary materials are available with this article.

MSC classification

Secondary: 52B05: Combinatorial properties (number of faces, shortest paths, etc.) 20F55: Reflection and Coxeter groups
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 18 , Issue 1 , 2015 , pp. 754 - 773
Copyright
© The Author 2015 

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Supplementary material: File

Guglielmetti supplementary material S1

Guglielmetti supplementary material

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