Growth tightness of free and amalgamated products

DOI10.1016/S0012-9593(02)01101-1zbMath1018.20036MaRDI QIDQ4800369

Andrea Sambusetti

Publication date: 3 April 2003

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2002_4_35_4_477_0

zbMATH Keywords

subgroups of finite indexfree productsgrowth functionsfinite generating setsamalgamated productsword metricsHopfian groupsgrowth tightnessgrowth properties of groupsentropy of finitely generated 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 (10)

Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups ⋮ Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces. ⋮ Patterson-Sullivan measures and growth of relatively hyperbolic groups ⋮ Growth tightness of negatively curved manifolds ⋮ The growth of free products. ⋮ Subnormal subgroups in free groups, their growth and cogrowth ⋮ Attainability of the minimal exponent of exponential growth for some Fuchsian groups. ⋮ Attainability of the minimal exponential growth rate for free products of finite cyclic groups. ⋮ Growth of quasiconvex subgroups ⋮ Growth tightness of surface groups

Cites Work

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• On minimal entropy and stability
• On problems related to growth, entropy, and spectrum in group theory
• Free products with amalgamation and HNN-extensions of uniformly exponential growth

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