2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68608Wajnryb proved that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove that the extended mapping class group is generated by two elements, again one of which is a Dehn twist. Another result we prove is that the mapping class groups are also generated by two elements of finite order.A new section is added. New abstract. 13 pagesGeometric TopologyGroup Theory57M07; 20F38Generating the surface mapping class group by two elementstext