On reflection subgroups of finite Coxeter groups

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.

Keywords

Finite Coxeter groups, reflection subgroups, Coxeter Elements

URI

https://doi.org/10.34657/2853
https://oa.tib.eu/renate/handle/123456789/1681

Citation

Douglass, J. M., Pfeiffer, G., & Röhrle, G. (2011). On reflection subgroups of finite Coxeter groups (Vol. 2011-06). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2011-06

Collections

Mathematik
Oberwolfach Preprints (OWP)

License

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