On Centralizers of Reflections in Coxeter Groups

DOI10.1112/blms/28.5.465zbMath0852.20033OpenAlexW2043665288MaRDI QIDQ4893644

Brigitte Brink

Publication date: 9 December 1996

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/28.5.465

zbMATH Keywords

Coxeter groupssemidirect productsfree groupscentralizers of reflections

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) Free nonabelian groups (20E05)

Related Items (15)

On centralizers of parabolic subgroups in Coxeter groups ⋮ The hull metric on Coxeter groups ⋮ \(n\)-low elements and maximal rank \(k\) reflection subgroups of Coxeter groups ⋮ Reflection centralizers in Coxeter groups. ⋮ Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups ⋮ Normalizers of parabolic subgroups of Coxeter groups. ⋮ On the Weak Order of Coxeter Groups ⋮ Some new biautomatic Coxeter groups. ⋮ The lower algebraic \(K\)-theory of \(\Gamma_{3}\) ⋮ Automorphisms of odd Coxeter groups ⋮ Oriented matroid structures from realized root systems ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ On the Isomorphism Problem for Coxeter Groups and Related Topics ⋮ The generating function for the number of roots of a Coxeter group ⋮ Automorphisms of Coxeter groups of rank 3 with infinite bonds.

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