On Reflection Subgroups of Finite Coxeter Groups

View/ Open
Date
2011-05-9MFO Scientific Program
Research in Pairs 2010Series
Oberwolfach Preprints;2011,06Author
Douglass, J. Matthew
Pfeiffer, Götz
Röhrle, Gerhard
Metadata
Show full item recordOWP-2011-06
Abstract
Let $W$ be a finite Coxeter group. We classify the reflection subgroups of $W$ up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup $R$ of $W$ the conjugacy class of its Coxeter elements to be injective, up to conjugacy.