Geodesic
On Some Quotients of Hyperbolic Groups
Matematičeskie zametki, Tome 114 (2023) no. 1, pp. 121-132

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

This paper presents generalizations of results given in the book Geometry of Defining Relations in Groups by A. Yu. Ol'shanskii to the case of noncyclic torsion-free hyperbolic groups. In particular, it is proved that every noncyclic torsion-free hyperbolic group has a non-Abelian torsion-free quotient in which all proper subgroups are cyclic and the intersection of any two of them is nontrivial.
Keywords: torsion-free hyperbolic group
Mots-clés : quotient group. 
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     title = {On {Some} {Quotients} of {Hyperbolic} {Groups}},
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O. V. Kulikova. On Some Quotients of Hyperbolic Groups. Matematičeskie zametki, Tome 114 (2023) no. 1, pp. 121-132. http://geodesic.mathdoc.fr/item/MZM_2023_114_1_a9/