IRREDUCIBLE COXETER GROUPS

DOI10.1142/S0218196707003779zbMath1134.20046arXivmath/0412214OpenAlexW4301164968MaRDI QIDQ5297219

Luis Paris

Publication date: 18 July 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412214

zbMATH Keywords

subgroups of finite indexdirect productscentral automorphismsstrongly indecomposable groupsirreducible Coxeter groupsvirtually indecomposable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (18)

On centralizers of parabolic subgroups in Coxeter groups ⋮ Commensurability in Artin groups of spherical type ⋮ On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms. ⋮ Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups ⋮ The centralizer of a Coxeter element ⋮ Reflection factorizations and quasi-Coxeter elements ⋮ Presentability by products for some classes of groups ⋮ TORIC REFLECTION GROUPS ⋮ Strongly indecomposable finite groups. ⋮ Matching theorems for systems of a finitely generated Coxeter group. ⋮ Coxeter groups and Kähler groups ⋮ Dynamics on blowups of the projective plane ⋮ Hyperbolic configurations of roots and Hecke algebras ⋮ Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups. ⋮ On the Isomorphism Problem for Coxeter Groups and Related Topics ⋮ Intrinsic reflections in Coxeter systems ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices ⋮ Automorphism groups of rational surfaces

Cites Work

• Unnamed Item
• Reflection subgroups of Coxeter systems
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Normalizers of parabolic subgroups in Coxeter groups
• On outer automorphism groups of Coxeter groups
• Discrete groups generated by reflections
• Rigidity of Coxeter groups and Artin groups
• Coxeter groups, Salem numbers and the Hilbert metric.
• Artin groups of spherical type up to isomorphism.
• On the root system of a coxeter group
• When is a Coxeter System Determined by its Coxeter Group?
• On the Direct Indecomposability of Infinite Irreducible Coxeter Groups and the Isomorphism Problem of Coxeter Groups

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