On conjugacy of abstract root bases of root systems of Coxeter groups

DOI10.1216/RMJ-2018-48-7-2223zbMath1483.20073arXiv1011.2270OpenAlexW2904706877WikidataQ128755134 ScholiaQ128755134MaRDI QIDQ1755471

Matthew J. Dyer

Publication date: 10 January 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2270

zbMATH Keywords

Coxeter grouproot systemreflection rigidity

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items (3)

On reflection representations of Coxeter groups over non-commutative rings ⋮ Oriented matroid structures from realized root systems ⋮ Imaginary cone and reflection subgroups of Coxeter groups

Cites Work

• Reflection subgroups of Coxeter systems
• Normalizers of parabolic subgroups in Coxeter groups
• On outer automorphism groups of Coxeter groups
• Rigidity of Coxeter groups and Artin groups
• NONORTHOGONAL GEOMETRIC REALIZATIONS OF COXETER GROUPS
• Combinatorics of Coxeter Groups
• Reflection rigidity of 2-spherical Coxeter groups
• On parabolic closures in Coxeter groups
• On the root system of a coxeter group
• Abstract Reflections and Coxeter Groups
• On the Weak Order of Coxeter Groups
• Convex Geometries on Root Systems
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