AN UPPER BOUND FOR THE GROWTH OF CONJUGACY CLASSES IN TORSION-FREE WORD HYPERBOLIC GROUPS

DOI10.1142/S0218196704001803zbMath1058.20035OpenAlexW2052092702MaRDI QIDQ4824693

Michel Coornaert, Gerhard Knieper

Publication date: 1 November 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196704001803

zbMATH Keywords

finitely generated groupshyperbolic groupsword metricsprimitive conjugacy classesgrowth rates of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (4)

The conjugacy growth of the soluble Baumslag-Solitar groups ⋮ Counting conjugacy classes in groups with contracting elements ⋮ Growth of conjugacy classes of Schottky groups in higher rank symmetric spaces ⋮ On the conjugacy growth functions of groups.

Cites Work

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• An analogue of the prime number theorem for closed orbits of Axiom A flows
• Topological entropy for geodesic flows
• 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
• On the asymptotic geometry of nonpositively curved manifolds
• Growth of conjugacy classes in Gromov hyperbolic groups.
• Applications of ergodic theory to the investigation of manifolds of negative curvature

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