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A finite Coxeter group the weak Bruhat order of which is not symmetric chain

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Publication:1317497
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DOI10.1006/eujc.1994.1020zbMath0792.05066OpenAlexW1973993158MaRDI QIDQ1317497

Bruno Leclerc

Publication date: 24 July 1994

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1994.1020


zbMATH Keywords

finite irreducible Coxeter groupsymmetric chain partitionable weak Bruhat order


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)


Related Items (3)

Families of chains of a poset and Sperner properties ⋮ Symmetric decompositions and the strong Sperner property for noncrossing partition lattices ⋮ The weak Bruhat order on the symmetric group is Sperner




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