Attainability of the minimal exponential growth rate for free products of finite cyclic groups.

DOI10.1134/S0081543811060186zbMath1297.20024OpenAlexW2074726658MaRDI QIDQ2510773

Alexey Talambutsa

Publication date: 4 August 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811060186

zbMATH Keywords

finitely generated groupsgrowth functionsgroups of exponential growthattainabilityfree products of cyclic groups

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 (1)

Exponential growth rates of free and amalgamated products.

Cites Work

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• Attainability of the minimal exponent of exponential growth for some Fuchsian groups.
• On exponential growth and uniformly exponential growth for groups.
• Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality
• The growth of free products.
• Attainability of the exponent of exponential growth in free products of cyclic groups
• On the attainability of the minimal growth exponent of free products of cyclic groups
• Growth tightness of free and amalgamated products
• Minimal growth of non-Hopfian free products
• Free products with amalgamation and HNN-extensions of uniformly exponential growth

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