The growth rates for pure Artin groups of dihedral type.

DOI10.1016/j.ejc.2014.02.002zbMath1303.20046OpenAlexW2147285771MaRDI QIDQ402467

Michihiko Fujii

Publication date: 28 August 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.02.002

zbMATH Keywords

Artin groups of dihedral typespherical growth seriesgeodesic growth series

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36)

Cites Work

• The spherical growth series for pure Artin groups of dihedral type.
• On the growth of hyperbolic 3-dimensional generalized simplex reflection groups.
• Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers
• On the growth of cocompact hyperbolic Coxeter groups.
• Growth functions of surface groups
• Growth of planar Coxeter groups, P.V.numbers and Salem numbers
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth series of Coxeter groups and Salem numbers
• The fundamental group of the complement of a union of complex hyperplanes
• Growth Functions and Automatic Groups
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