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Date

2011-05-9

MFO Scientific Program

Research in Pairs 2010

Series

Oberwolfach Preprints;2011,06

Author

Douglass, J. Matthew

Pfeiffer, Götz

Röhrle, Gerhard

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OWP-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.

DOI

10.14760/OWP-2011-06

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2011

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On Reflection Subgroups of Finite Coxeter Groups