Universal Reflection Subgroups and Exponential Growth in Coxeter Groups

DOI10.1080/00927872.2011.644367zbMath1282.20041OpenAlexW2052791127MaRDI QIDQ4924098

Tom Edgar

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.644367

zbMATH Keywords

Coxeter groupsroot systemsgroups of exponential growthhyperbolic Coxeter systemsuniversal reflection subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

Local finiteness of the twisted Bruhat orders on affine Weyl groups ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups

Cites Work

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• Reflection subgroups of Coxeter systems
• A note on subgroups generated by reflections in Coxeter groups
• The set of dominance-minimal roots
• Combinatorics of Coxeter Groups
• A case-free characterization of hyperbolic Coxeter systems
• On the root system of a coxeter group
• On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups

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