Coxeter length.

DOI10.1016/J.JALGEBRA.2003.11.006zbMath1148.20306OpenAlexW4212959900MaRDI QIDQ1427394

Sarah B. Perkins, Peter J. Rowley

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.11.006

zbMATH Keywords

rootsconjugacy classesparabolic subgroupslength functionsfinitely generated Coxeter groupsroot sytems

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

On excess in finite Coxeter groups. ⋮ On negative orbits of finite Coxeter groups. ⋮ Poincaré Series of Cosets in Coxeter Groups

Cites Work

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• A finiteness property and an automatic structure for Coxeter groups
• On the irreducible characters of Hecke algebras
• Minimal length elements in twisted conjugacy classes of finite Coxeter groups.
• Evil elements in Coxeter groups.
• Bad upward elements in infinite Coxeter groups

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