On commensurable hyperbolic Coxeter groups
- Guglielmetti, Rafael Department of Mathematics, University of Fribourg, Switzerland
- Jacquemet, Matthieu Department of Mathematics, University of Fribourg, Switzerland
- Kellerhals, Ruth Department of Mathematics, University of Fribourg, Switzerland
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08.04.2016
Published in:
- Geometriae Dedicata. - 2016, vol. 183, no. 1, p. 143–167
Commensurability
Hyperbolic Coxeter group
Coxeter pyramid
Amalgamated free product
Translational lattice
Arithmetic group
English
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new methods are presented to distinguish them up to (wide) commensurability. We exploit these ideas and determine the commensurability classes of all hyperbolic Coxeter groups whose fundamental polyhedra are pyramids over a product of two simplices of positive dimensions.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 277377
- DOI 10.1007/s10711-016-0151-7
- Persistent URL
- https://folia.unifr.ch/unifr/documents/305030
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