Geometric characterizations of virtually free groups

Abstract

Four geometric conditions on a geodesic metric space, which are stronger variants of classical conditions characterizing hyperbolicity, are proved to be equivalent. In the particular case of the Cayley graph of a finitely generated group, it is shown that they characterize virtually free groups.

12 pages

References in corpus (2)

• On Cayley graphs of virtually free groups
• Context-Free Groups and Their Structure Trees

Cited by in corpus (2)

• Corrigendum to "Model Theory of Fields with Virtually Free Group Actions"
• Hölder conditions for endomorphisms of hyperbolic groups