Reflection subgroups of Coxeter groups
- Felikson, Anna Independent University of Moscow, Russia - Department of Mathematics, University of Fribourg, Switzerland
- Tumarkin, Pavel Independent University of Moscow, Russia - Department of Mathematics, Michigan State University, East Lansing, USA
-
18.09.2009
Published in:
- Transactions of the American Mathematical Society. - 2010, vol. 362, p. 847-858.
English
We use the geometry of the Davis complex of a Coxeter group to investigate finite index reflection subgroups of Coxeter groups. The main result is the following: if $ G$ is an infinite indecomposable Coxeter group and $ H\subset G$ is a finite index reflection subgroup, then the rank of $ H$ is not less than the rank of $ G$. This generalizes earlier results of the authors (2004). We also describe the relationship between the nerves of the group and the subgroup in the case of equal rank
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 17273
- DOI 10.1090/S0002-9947-09-04859-4
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301410
Statistics
Document views: 35
File downloads:
- felikson_rsc.pdf: 80