On Reflection Subgroups of Finite Coxeter Groups |
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| Authors: | J. Matthew Douglass Gerhard Röhrle |
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| Affiliation: | 1. Department of Mathematics , University of North Texas , Denton , Texas , USA;2. Fakult?t für Mathematik , Ruhr-Universit?t Bochum , Bochum , Germany |
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| 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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| Keywords: | Coxeter elements Finite Coxeter groups Reflection subgroups |
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