Reflection centralizers in Coxeter groups.

DOI10.1007/s00031-013-9236-7zbMath1283.20042arXiv1106.3822OpenAlexW2072430927MaRDI QIDQ367150

Daniel Allcock

Publication date: 26 September 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3822

zbMATH Keywords

Coxeter groupssemidirect productsgenerating setsfree groupscentralizers of reflectionsCoxeter graphs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Lannér diagrams and combinatorial properties of compact hyperbolic Coxeter polytopes ⋮ The centralizer of a Coxeter element ⋮ Normalizers of parabolic subgroups of Coxeter groups. ⋮ Arithmetic hyperbolic reflection groups

Cites Work

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• Steinberg groups as amalgams
• Normalizers of parabolic subgroups of Coxeter groups.
• Normalizers of parabolic subgroups in Coxeter groups
• The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
• Normalizers of Parabolic Subgroups of Reflection Groups
• On Centralizers of Reflections in Coxeter Groups
• Rolling of Coxeter Polyhedra Along Mirrors
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS

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