Geodesic
Complementing a~finite subgroup of a~hyperbolic group by a~free factor
Algebra i logika, Tome 49 (2010) no. 4, pp. 520-554.

Voir la notice de l'article provenant de la source Math-Net.Ru

We give necessary and sufficient conditions for a finite subgroup $H$ of a hyperbolic group $G$ to contain a free subgroup $F$ of rank two in $G$ such that $F$ and $H$ generate a free product $F*H$. A verification algorithm for these conditions is pointed out.
Keywords: hyperbolic group, finite subgroup, free product. 
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K. S. Sviridov. Complementing a~finite subgroup of a~hyperbolic group by a~free factor. Algebra i logika, Tome 49 (2010) no. 4, pp. 520-554. http://geodesic.mathdoc.fr/item/AL_2010_49_4_a4/

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