faithful real representations of groups of f-type

‎groups of f-type were introduced in [b‎. ‎fine and g‎. ‎rosenberger‎, ‎generalizing algebraic properties of fuchsian groups‎, london math. soc. lecture note ser.159 (1991)‎ ‎124-147.] as a natural algebraic generalization of fuchsian groups‎. ‎they can be considered as the analogs of cyclically pinched one-relator groups where torsion is allowed‎. ‎using the methods in [b‎. ‎fine‎. ‎m‎. ‎kreuzer and g‎. ‎rosenberger‎, ‎faithful real representations of cyclically pinched one-relator groups, int. j. group theory, 3 ‎(2014) 1-8.] we prove that any hyperbolic group of f-type has a faithful representation in psl(2, r)‎. ‎from this we also obtain that a cyclically pinched one-relator group has a faithful real representation if and only if it is hyperbolic‎. ‎we further survey the many nice properties of groups of f-type‎. ‎