On definitions of relatively hyperbolic groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70069The purpose of this note is to provide a short alternate proof that (combined with a theorem proven by Szczepanski) shows that a group which is relatively hyperbolic in the sense of the definition of Gromov is relatively hyperbolic in the sense of the definition of Farb.8 pages, to appear in Proceedings of American Mathematical SocietyGroup TheoryGeometric Topology20F67 (Primary) 20F65,05C25 (Secondary)On definitions of relatively hyperbolic groupstext