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- Title
Geometric characterizations of virtually free groups.
- Authors
Araújo, Vítor; Silva, Pedro V.
- Abstract
Four geometric conditions on a geodesic metric space, which are stronger variants of classical conditions characterizing hyperbolicity (featuring -thin polygons, the Gromov product or the mesh of triangles), are proved to be equivalent. They define the class of polygon hyperbolic geodesic metric spaces. In the particular case of the Cayley graph of a finitely generated group, it is shown that they characterize virtually free groups.
- Subjects
GEOMETRIC analysis; FREE groups; METRIC spaces; HYPERBOLIC geometry; POLYGONS
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501808