A characterisation of virtually free groups

Details A characterisation of virtually free groups A characterisation of virtually free groups

2011-11-03

arxiv.org/abs/1111.0771v1

Archiv der Mathematik 89 (2007) 289--295

Mathematics

Group Theory

Scientific paper

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.

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