Journal article

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
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/301410
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