The finite antichain property in Coxeter groups.

DOI10.1007/S11512-006-0028-3zbMath1150.20025arXivmath/0512189OpenAlexW2593431436MaRDI QIDQ942014

Axel Hultman

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512189

zbMATH Keywords

Coxeter systemsBruhat orderinfinite antichainsweak orderCoxeter lengthsinfinite Coxeter groups

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (1)

Local finiteness of the twisted Bruhat orders on affine Weyl groups

Cites Work

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• A finiteness property and an automatic structure for Coxeter groups
• \(R\)-sequenceability and \(R^*\)-sequenceability of Abelian 2-groups
• Coxeter groups are almost convex
• The theory of well-quasi-ordering: a frequently discovered concept
• Combinatorics of Coxeter Groups
• An application of the Morse theory to the topology of Lie-groups
• On the root system of a coxeter group
• Ordering by Divisibility in Abstract Algebras

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