2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72719In this paper we prove a combination theorem for Veech subgroups of the mapping class group analogous to the first Klein-Maskit combination theorem for Kleinian groups in which two Fuchsian subgroups are amalgamated along a parabolic subgroup. As a corollary, we construct subgroups of the mapping class group (for all genus at least 2), which are isomorphic to non-abelian closed surface groups in which all but one conjugacy class (up to powers) is pseudo-Anosov.A few minor typos correctedGeometric TopologyGroup Theory57M60; 30F60A combination theorem for Veech subgroups of the mapping class grouptext