Geodesic
A characterization of virtually free groups among hyperbolic groups
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 477-483

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DOI

We prove that virtually free groups are precisely the hyperbolic groups admitting a language of geodesic words containing a unique representative for each group element with bounded triangles. Equivalently, these are exactly the hyperbolic groups for which the model for the Gromov boundary defined by Silva is well defined.
DOI : 10.4153/S0008439524000912
Mots-clés : Virtually free groups, Gromov boundary, geodesics 
Carvalho, André. A characterization of virtually free groups among hyperbolic groups. Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 477-483. doi: 10.4153/S0008439524000912
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     title = {A characterization of virtually free groups among hyperbolic groups},
     journal = {Canadian mathematical bulletin},
     pages = {477--483},
     year = {2025},
     volume = {68},
     number = {2},
     doi = {10.4153/S0008439524000912},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000912/}
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