Geometric characterizations of virtually free groups

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Pedro V. Silva (Author) FCUP; Vítor Araújo (Author) Other

Journal

Title: Journal of Algebra and its Applications

Vol. 16

Initial page: 1750180

ISSN: 0219-4988

Publisher: World Scientific

Indexing

Scopus - 6 Citations

Other information

Authenticus ID: P-00X-R0C

DOI: 10.1142/s0219498817501808

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific