Geometric characterizations of virtually free groups
classification
🧮 math.GR
math.MG
keywords
conditionsfreegeometricgroupsvirtuallycasecayleycharacterizations
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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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