  We classify Dehn surgeries on (p,q,r) pretzel knots that result in a manifold
of finite fundamental group. The only hyperbolic pretzel knots that admit
non-trivial finite surgeries are (-2,3,7) and (-2,3,9). Agol and Lackenby's
6-theorem reduces the argument to knots with small indices p,q,r. We treat
these using the Culler-Shalen norm of the SL(2,C)-character variety. In
particular, we introduce new techniques for demonstrating that boundary slopes
are detected by the character variety.
