Hölder Conditions for Endomorphisms of Hyperbolic Groups

DOI10.1080/00927872.2015.1094480zbMath1383.20031arXiv1405.6310OpenAlexW3101701698MaRDI QIDQ2817523

Vítor Araújo, Pedro V. Silva

Publication date: 31 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6310

zbMATH Keywords

endomorphismshyperbolic groupsuniform continuityvirtually free groupsHölder conditions

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

On the dynamics of extensions of free-abelian times free groups endomorphisms to the completion ⋮ On uniformly continuous endomorphisms of hyperbolic groups

Cites Work

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• Structure and rigidity in hyperbolic groups. I
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• Random walk in random groups.
• Combinatorial group theory.
• Fixed points of endomorphisms of virtually free groups.
• Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces
• Gromov hyperbolic spaces
• A non-quasiconvexity embedding theorem for hyperbolic groups
• Geometric characterizations of virtually free groups
• Distance functions and the metrization problem
• On the failure of the co-Hopf property for subgroups of word-hyperbolic groups

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