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On reflection subgroups of finite Coxeter groups

Douglass, J. Matthew
; 
Pfeiffer, Götz
; 
Röhrle, Gerhard
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Identifiers
http://hdl.handle.net/10379/7005
 https://doi.org/10.13025/15251
Publication Date
2013-06-14
Keywords
coxeter elements, finite coxeter groups, reflection subgroups, conjugacy classes, mathematics
Type
journal article
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Citation
Douglass, J. Matthew, Pfeiffer, Götz, & Röhrle, Gerhard. (2013). On Reflection Subgroups of Finite Coxeter Groups. Communications in Algebra, 41(7), 2574-2592. doi: 10.1080/00927872.2012.661005
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.
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Publisher
Taylor & Francis
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CC BY-NC-ND
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Mathematics (Scholarly Articles)