A note on parabolic subgroups of a Coxeter group.

DOI10.1016/j.exmath.2006.05.001zbMath1121.20031arXivmath/0512408OpenAlexW2094755237MaRDI QIDQ2371316

Dongwen Qi

Publication date: 4 July 2007

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512408

zbMATH Keywords

parabolic subgroupsCoxeter groupsroot systemsparabolic closures

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (11)

Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups ⋮ The centralizer of a Coxeter element ⋮ Word problem and parabolic subgroups in Dyer groups ⋮ Locally parabolic subgroups in Coxeter groups of arbitrary ranks. ⋮ Reflection factorizations and quasi-Coxeter elements ⋮ On the Hurwitz action in finite Coxeter groups ⋮ A note on irreducible, infinite Coxeter groups. ⋮ Intrinsic reflections in Coxeter systems ⋮ On parabolic subgroups of Artin-Tits groups of spherical type ⋮ Automorphism groups of rational surfaces ⋮ Parabolic subgroups of large-type Artin groups

Cites Work

• The conjugacy problem for Coxeter groups.
• Buildings of spherical type and finite BN-pairs
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• On the root system of a coxeter group
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