One-relator groups of exponential growth have uniformly exponential growth

DOI10.1023/A:1010224617663zbMath0999.20033OpenAlexW1483125915MaRDI QIDQ5951090

Pierre De la Harpe, Rostislav I. Grigorchuk

Publication date: 4 September 2002

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010224617663

zbMATH Keywords

HNN-extensionsuniformly exponential growthone-relator groupsgroups of exponential growthgrowth of groupsword lengths

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (7)

Exponential growth rates of free and amalgamated products. ⋮ The growth of free products. ⋮ Groups acting on CAT(0) cube complexes with uniform exponential growth ⋮ Some finiteness results for groups with bounded algebraic entropy. ⋮ Algebraic entropy of elementary amenable groups. ⋮ Growth of relatively hyperbolic groups ⋮ An alternative on the entropy of groups.

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