Geometric characterizations of virtually free groups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Pedro V. Silva (Autor) FCUP; Vítor Araújo (Autor) Outra

Revista

Título: Journal of Algebra and its Applications

Vol. 16

Página Inicial: 1750180

ISSN: 0219-4988

Editora: World Scientific

Indexação

Scopus - 6 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica