Special involutions and bulky parabolic subgroups in finite Coxeter groups

DOI10.1017/S1446788700009381zbMath1078.20042arXivmath/0406014MaRDI QIDQ5697529

Götz Pfeiffer, Gerhard Röhrle

Publication date: 18 October 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406014

zbMATH Keywords

finite Coxeter groupsbulky parabolic subgroupscomplexified hyperplane arrangementsconjugacy classes of special involutions

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

On the invariants of the cohomology of complements of Coxeter arrangements, An inductive approach to Coxeter arrangements and Solomon's descent algebra., Bar operators for quasiparabolic conjugacy classes in a Coxeter group., A note on element centralizers in finite Coxeter groups

Cites Work

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• Some remarks on involutions in coxeter groups
• On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes
• Normalizers of Parabolic Subgroups of Reflection Groups