Geodesic
Hyperbolicity of some 2-generator groups with one defining condition
Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 54-69.

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We give the description of word hyperbolic groups of the form $$ \langle a,b,t; t^{-1}at=b, t^{-1}bt=w(a,b)\rangle. $$ The research was supported by the Russian Foundation for Basic Research, grant 00–01–00767. 
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N. B. Bezverkhnyaya. Hyperbolicity of some 2-generator groups with one defining condition. Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 54-69. http://geodesic.mathdoc.fr/item/DM_2002_14_3_a6/

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