A characterisation of virtually free groups
classification
🧮 math.GR
keywords
freegeneratinggeodesicvirtuallycharacterisationexistsfinitelygenerated
read the original abstract
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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