Word length and limit sets of Kleinian groups.

DOI10.2996/KMJ/1123767022zbMATH Open1084.20033OpenAlexW2035403527MaRDI QIDQ2574408

Tsuyoshi Yamaguchi

Publication date: 21 November 2005

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

Full work available at URL: https://doi.org/10.2996/kmj/1123767022

zbMATH Keywords

finitely generated groupsCayley graphshyperbolic groupsword lengthsparabolic elementsgeometrically finite Kleinian groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Hyperbolic groups and nonpositively curved groups (20F67) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (6)

Words and mixing times in finite simple groups. ⋮ Some considerations on Hydra groups and a new bound for the length of words ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ Kleinian groups and geometric function theory ⋮ A LOWER BOUND ON THE GROWTH OF WORD HYPERBOLIC GROUPS ⋮ The relative exponential growth rate of subgroups of acylindrically hyperbolic groups

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