2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79199In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.30 pages, 14 figuresGeometric TopologyGroup Theory20F36 (Primary) 57N05 (Secondary)text