On reflection subgroups of finite Coxeter groups

Details On reflection subgroups of finite Coxeter groups On reflection subgroups of finite Coxeter groups

2011-01-31

arxiv.org/abs/1101.5893v3

Mathematics

Group Theory

17 pages; final version, to appear in Comm. Algebra

Scientific paper

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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