Geometric characterizations of virtually free groups
Group Theory
2017-12-05 v1 Metric Geometry
Abstract
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.
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Cite
@article{arxiv.1405.5400,
title = {Geometric characterizations of virtually free groups},
author = {Vítor Araújo and Pedro V. Silva},
journal= {arXiv preprint arXiv:1405.5400},
year = {2017}
}
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12 pages