On the Direct Indecomposability of Infinite Irreducible Coxeter Groups and the Isomorphism Problem of Coxeter Groups

DOI10.1080/00927870600651281zbMath1104.20038arXivmath/0501276OpenAlexW3098621396MaRDI QIDQ5489297

Koji Nuida

Publication date: 25 September 2006

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

Full work available at URL: https://arxiv.org/abs/math/0501276

zbMATH Keywords

Coxeter groupsautomorphism groupscentralizersindecomposabilityisomorphism problem

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphism groups of groups (20F28) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (7)

On centralizers of parabolic subgroups in Coxeter groups ⋮ IRREDUCIBLE COXETER GROUPS ⋮ On quotients of Coxeter groups ⋮ Locally finite continuations and Coxeter groups of infinite ranks ⋮ Locally parabolic subgroups in Coxeter groups of arbitrary ranks. ⋮ On the Hurwitz action in finite Coxeter groups ⋮ On the Isomorphism Problem for Coxeter Groups and Related Topics

Cites Work

• Unnamed Item
• The conjugacy problem for Coxeter groups.
• Normalizers of parabolic subgroups in Coxeter groups
• Conjugacy classes of involutions in Coxeter groups
• Normalizers of Parabolic Subgroups of Reflection Groups
• On the root system of a coxeter group
• Automorphisms of nearly finite Coxeter groups

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