(20F05 20F36 20F38 57M05 57M20)
Birman, Joan S.; Wajnryb, Bronislaw Presentations of the mapping class group. Errata: "$3$-fold branched coverings and the mapping class group of a surface'' [in Geometry and topology (College Park, MD, 1983/84), 24–46, Lecture Notes in Math., 1167, Springer, Berlin, 1985; MR0827260] and "A simple presentation of the mapping class group of an orientable surface'' [Israel J. Math. 45 (1983), no. 2-3, 157–174; MR0719117] by Wajnryb.
Israel J. Math. 88 (1994), no. 1-3, 425–427.