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On reflection subgroups of finite coxeter groups

Douglass, J. Matthew
; 
Pfeiffer, Götz
; 
Röhrle, Gerhard
Repository DOI
Publication Date
2013-05-28
Keywords
coxeter elements, finite coxeter groups, reflection subgroups, conjugacy classes
Type
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
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.
Funder
Publisher
Informa UK Limited
Publisher DOI
10.1080/00927872.2012.661005
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)