Free products with amalgamation and HNN-extensions of uniformly exponential growth

DOI10.1007/BF02675621zbMath0998.20025OpenAlexW1965097826MaRDI QIDQ5942054

No author found.

Publication date: 26 November 2002

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

Full work available at URL: https://doi.org/10.1007/bf02675621

zbMATH Keywords

finitely generated groupsfree products with amalgamationHNN extensionsactions on treesfinite generating setsuniformly exponential growth

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) Groups acting on trees (20E08)

Related Items (17)

Growth tightness of free and amalgamated products ⋮ Exponential growth rates of free and amalgamated products. ⋮ Collapsing and group growth as obstructions to Einstein metrics on some smooth 4-manifolds ⋮ On 4-manifolds with zero-entropy metrics ⋮ A gap property for the growth of closed 3-manifold groups. ⋮ Hierarchically hyperbolic groups and uniform exponential growth ⋮ The growth of free products. ⋮ Groups acting on CAT(0) cube complexes with uniform exponential growth ⋮ Amenable actions preserving a locally finite metric ⋮ Margulis numbers for Haken manifolds ⋮ Algebraic entropy of elementary amenable groups. ⋮ Attainability of the minimal exponential growth rate for free products of finite cyclic groups. ⋮ On the joint spectral radius for isometries of non-positively curved spaces and uniform growth ⋮ Negligibity of elliptic elements in ascending HNN-extensions of Zm ⋮ Entropy and finiteness of groups with acylindrical splittings ⋮ Uniform non-amenability ⋮ An alternative on the entropy of groups.

Cites Work

• Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Free products with amalgamation and HNN-extensions of uniformly exponential growth