On centralizers of parabolic subgroups in Coxeter groups

DOI10.1515/jgt.2010.088zbMath1266.20050arXivmath/0501061OpenAlexW1982528622MaRDI QIDQ2882817

Koji Nuida

Publication date: 7 May 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501061

zbMATH Keywords

parabolic subgroupsCoxeter groupsirreducible components2-cell complexesdecompositions of centralizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Locally parabolic subgroups in Coxeter groups of arbitrary ranks. ⋮ On the Isomorphism Problem for Coxeter Groups and Related Topics

Cites Work

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• The lower algebraic \(K\)-theory of \(\Gamma_{3}\)
• Erratum: ``The lower algebraic \(K\)-theory of \(\Gamma_3\)
• Almost central involutions in split extensions of Coxeter groups by graph automorphisms
• Normalizers of Parabolic Subgroups of Reflection Groups
• On the root system of a coxeter group
• Commensurators of parabolic subgroups of Coxeter groups
• On Centralizers of Reflections in Coxeter Groups
• IRREDUCIBLE COXETER GROUPS
• On the Direct Indecomposability of Infinite Irreducible Coxeter Groups and the Isomorphism Problem of Coxeter Groups

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