Strongly geodesically automatic groups are hyperbolic.
Inventiones mathematicae, Tome 121 (1995) no. 3, pp. 323-334.

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Mots-clés : recursive structures, geodesics, cocompact discrete groups of hyperbolic isometries, strongly geodesically automatic groups, hyperbolic groups, Cayley graphs
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     author = {P. Papasoglu},
     title = {Strongly geodesically automatic groups are hyperbolic.},
     journal = {Inventiones mathematicae},
     pages = {323--334},
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     year = {1995},
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P. Papasoglu. Strongly geodesically automatic groups are hyperbolic.. Inventiones mathematicae, Tome 121 (1995) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/IM_1995__121_3_144301/