2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60219S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus 2 is linear.5 pages, 1 figure, to apper in Turkish Journal of MathematicsGeometric TopologyGroup Theory57M60On the linearity of certain mapping class groupstext