Geodesic
Finite generated subgroups of hyperbolic groups
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2014), pp. 7-10

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It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.
Keywords: hyperbolic group, free product, free product with amalgamation, set of generators, index of a subgroup, normal subgroup. 
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     author = {A. P. Goryushkin},
     title = {Finite generated subgroups of hyperbolic groups},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {7--10},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2014_2_a0/}
}
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A. P. Goryushkin. Finite generated subgroups of hyperbolic groups. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2014), pp. 7-10. http://geodesic.mathdoc.fr/item/VKAM_2014_2_a0/