%0 Journal Article %T Geometric characterizations of virtually free groups %A VšȘtor ArašČjo %A Pedro V. Silva %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1405.5400v1