Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces.
DOI10.3934/jmd.2013.7.269zbMath1286.20057arXiv1212.6611OpenAlexW2963061644MaRDI QIDQ371059
Publication date: 27 September 2013
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.6611
entropycritical exponentsexponential growth rateGromov-hyperbolic spacesasymptotic group theorygrowth-tightness
Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Global Riemannian geometry, including pinching (53C20) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items (2)
Cites Work
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- Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- Growth tightness of negatively curved manifolds
- On the dependence of the growth rate on the length of the defining relator
- Embeddings of Gromov hyperbolic spaces
- Poincaré series of finite geometric groups
- Growth tightness of surface groups
- Growth tightness for word hyperbolic groups.
- On problems related to growth, entropy, and spectrum in group theory
- Asymptotic properties of coverings in negative curvature
- Attainability of the exponent of exponential growth in free products of cyclic groups
- On the growth of quotients of Kleinian groups
- Growth tightness of free and amalgamated products
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