2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100937We deal with two-generator subgroups of PSL(2,C) with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the generators is parabolic. We also present a list of the corresponding orbifolds.12 pages; 4 figures; minor changesGroup Theory30F40; 20H10text