GRAPH PRODUCTS AND CANNON PAIRS

DOI10.1142/S021819670200122XzbMath1044.20024OpenAlexW2071189751MaRDI QIDQ3043634

John Meier, James Worthington, Joseph Loeffler

Publication date: 6 August 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819670200122x

zbMATH Keywords

geodesicsCayley graphsgraph productsspherical growth series

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (13)

Conjugacy languages in groups ⋮ STAR-FREE GEODESIC LANGUAGES FOR GROUPS ⋮ Geodesic growth of right-angled Coxeter groups based on trees ⋮ Conjugacy languages in virtual graph products ⋮ No positive cone in a free product is regular ⋮ WORD EQUATIONS OVER GRAPH PRODUCTS ⋮ Conjugacy growth series and languages in groups ⋮ The language of geodesics for Garside groups ⋮ Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers ⋮ Counting subgraphs in fftp graphs with symmetry ⋮ LOGICAL ASPECTS OF CAYLEY-GRAPHS: THE MONOID CASE ⋮ GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE ⋮ Geodesic growth of some 3-dimensional RACGs

Cites Work

• Algorithms and geometry for graph products of groups
• Complete growth functions of hyperbolic groups
• Growth of certain non-positively curved cube groups
• Automatic structures, rational growth, and geometrically finite hyperbolic groups
• On problems related to growth, entropy, and spectrum in group theory
• The growth function of a graph group

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