Symmetries of Planar Growth Functions. II

DOI10.2307/2154663zbMath0823.20031OpenAlexW4242816543MaRDI QIDQ4277283

William J. Floyd

Publication date: 24 October 1995

Full work available at URL: https://doi.org/10.2307/2154663

zbMATH Keywords

generating functionshyperbolic spacesfinitely generated groupsgrowth functionsfinite generating setsEuclidean spacesword lengthfundamental polygonrecursive structuresgeometric generating setscocompact group of isometries

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items

The growth rate and balance of homogeneous tilings in the hyperbolic plane, On problems related to growth, entropy, and spectrum in group theory

Cites Work

• Unnamed Item
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth functions on Fuchsian groups and the Euler characteristic
• Symmetries of planar growth functions
• Growth series of finite extensions of \(Z^ n \)are rational