A LOWER BOUND ON THE GROWTH OF WORD HYPERBOLIC GROUPS

DOI10.1112/S002461070502257XzbMath1093.20024OpenAlexW2068010815MaRDI QIDQ3377404

Igor G. Lysenok, Goulnara N. Arzhantseva

Publication date: 22 March 2006

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002461070502257x

zbMATH Keywords

finitely generated groupshyperbolic groupsgroups of exponential growthchange of generatorsuniform exponential growth rate

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (7)

Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups ⋮ The rates of growth in a hyperbolic group ⋮ Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces ⋮ Some finiteness results for groups with bounded algebraic entropy. ⋮ On the joint spectral radius for isometries of non-positively curved spaces and uniform growth ⋮ Entropy and finiteness of groups with acylindrical splittings ⋮ Product set growth in Burnside groups

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