%0 Journal Article %T A characterisation of virtually free groups %A Robert H. Gilman %A S. Hermiller %A Derek F. Holt %A Sarah Rees %J Mathematics %D 2011 %I arXiv %X We prove that a finitely generated group $G$ is virtually free if and only if there exists a generating set for $G$ and $k > 0$ such that all $k$-locally geodesic words with respect to that generating set are geodesic. %U http://arxiv.org/abs/1111.0771v1