Semidirect Product Decomposition of Coxeter Groups

DOI10.1080/00927870902980354zbMath1194.20041arXiv0805.4100OpenAlexW1974870570MaRDI QIDQ3562345

Cédric Bonnafé, Matthew J. Dyer

Publication date: 21 May 2010

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

Full work available at URL: https://arxiv.org/abs/0805.4100

zbMATH Keywords

reduced expressionsCoxeter groupssemidirect product decompositionsnormal reflection subgroups

Mathematics Subject Classification ID

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

Related Items (11)

On inversion sets and the weak order in Coxeter groups ⋮ NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS ⋮ Small roots, low elements, and the weak order in Coxeter groups ⋮ \(n\)-low elements and maximal rank \(k\) reflection subgroups of Coxeter groups ⋮ Imaginary cones and limit roots of infinite Coxeter groups ⋮ Hecke algebras of normalizers of parabolic subgroups ⋮ DISTRIBUTION OF ACCUMULATION POINTS OF ROOTS FOR TYPE (n - 1, 1) COXETER GROUPS ⋮ Root subsystems of loop extensions ⋮ On the Weak Order of Coxeter Groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ Reflection subgroups of finite and affine Weyl groups

Cites Work

• Unnamed Item
• Quotients and extensions of reflection groups.
• Reflection subgroups of Coxeter systems
• Around Solomon's descent algebras.
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• The set of dominance-minimal roots
• On normal subgroups of Coxeter groups generated by standard parabolic subgroups.

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