On some quotient groups of hyperbolic groups
Group Theory
2022-08-08 v1
Abstract
This paper describes some generalizations of the results presented in the book "Geometry of defining Relations in Groups" , of A.Yu.Ol'shanskii to the case of non-cyclic torsion-free hyperbolic groups. In particular, it is proved that for every non-cyclic torsion-free hyperbolic group, there exists a non-Abelian torsion-free quotient group in which all proper subgroups are cyclic, and the intersection of any two of them is not trivial.
Keywords
Cite
@article{arxiv.2208.02859,
title = {On some quotient groups of hyperbolic groups},
author = {Olga Kulikova},
journal= {arXiv preprint arXiv:2208.02859},
year = {2022}
}