Uniform growth in groups of exponential growth

DOI10.1023/A:1021273024728zbMath1025.20027OpenAlexW1565814084MaRDI QIDQ1863076

Pierre De la Harpe

Publication date: 11 March 2003

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021273024728

zbMATH Keywords

finitely generated groupsfree products with amalgamationhyperbolic groupsgrowth functionsHNN-extensionsword metricexponential growth rateone relator groupsuniform exponential growthGolod-Shafarevich groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Relating exponential growth in a manifold and its fundamental group, Topological volumes of fibrations: a note on open covers, Exponential growth rates of free and amalgamated products., The rates of growth in a hyperbolic group, Extra-large type Artin groups are hierarchically hyperbolic, Hierarchically hyperbolic groups and uniform exponential growth, A Wilson group of non-uniformly exponential growth., The growth of free products., On the product of subsets in periodic groups, Uniform growth of groups acting on Cartan-Hadamard spaces., Groups acting on CAT(0) cube complexes with uniform exponential growth, Groups of oscillating intermediate growth., Golod-Shafarevich groups with property \((T)\) and Kac-Moody groups., Uniform exponential growth for CAT(0) square complexes, Ordering the space of finitely generated groups, A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$, Uniform nonamenability of subgroups of free Burnside groups of odd period., Entropy on normed semigroups (towards a unifying approach to entropy), Growth of discrete groups of isometries in negative curvature: a gap-property., An alternative on the entropy of groups.