2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77392We give a solution to the word problem for the singular braid monoid SB_n. The complexity of the algorithm is quadratic in the product of the word length and the number of the singular generators in the word. Furthermore we algebraically reprove a result of Fenn, Keyman and Rourke that the monoid embeds into a group and we compute the cohomological dimension of this group.18 pages, 4 figuresGeometric TopologyGroup Theory57M25; 20F10; 20F36text