2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76808We prove that the image of the mapping class group by the representations arising in the SU(2)-TQFT is infinite, provided that the genus is bigger than 2 and the level r of the theory is different from 2,3,4,6. In particular the quotient of the mapping class group by the normaizer of the r-th power of a Dehn twist is infinite if the genus is at least 3 and r is bigger than 12.21 pages, 6 eps figures, Latex figures (to appear Pacific.J.Math.)Geometric TopologyQuantum Algebra57 N 10, 20 F 36text