CoxIter swMATH ID: 13972 Software Authors: Guglielmetti, R. Description: CoxIter – computing invariants of hyperbolic Coxeter groups.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 [url{http://coxiter.rgug.ch}]. Homepage: http://coxiter.rgug.ch/ Keywords: invariants of hyperbolic Coxeter groups Related Software: PARI/GP; SageMath; Mathematica Cited in: 7 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year CoxIter – computing invariants of hyperbolic Coxeter groups. Zbl 1333.20040Guglielmetti, R. 2015 all top 5 Cited by 9 Authors 3 Kellerhals, Ruth 2 Guglielmetti, Rafael 2 Jacquemet, Matthieu 1 Bredon, Naomi 1 Emery, Vincent 1 Felikson, Anna Aleksandrovna 1 Mila, Olivier 1 Tschantz, Steven Thomas 1 Tumarkin, Pavel all top 5 Cited in 7 Serials 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 LMS Journal of Computation and Mathematics 1 Groups, Geometry, and Dynamics 1 Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 10 Fields 7 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 2 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) Citations by Year