Errata: Presentations of the mapping class group. (English) Zbl 0811.57019

In [Isr. J. Math. 45, 157-174 (1983; Zbl 0533.57002)] the second author gave a presentation for the mapping class group \(M_{n,k}\) of an orientable surface \(F_{n,k}\) of genus \(n\geq 1\) with \(k=0\) or 1 boundary components. The statement of Theorem 2 in that paper contains an error. In this note we correct the error. At the same time we correct inaccuracies in [the authors, Lect. Notes Math. 1167, 24-46 (1985; Zbl 0589.57009)], which studied the same circle of ideas and made use of results from the paper cited at the beginning.


57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
57M05 Fundamental group, presentations, free differential calculus
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
20F05 Generators, relations, and presentations of groups
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[1] [B] J. S. Birman,Mapping class groups of surfaces, inBraids, Contemporary Mathematics78 (1988), 13-43.
[2] [BW] J. S. Birman and B. Wajnryb,3-Fold branched coverings and the mapping class group of a surface, inGeometry and Topology, Springer-Verlag Lecture Notes1167 (1985), 24-43.
[3] Wajnryb, B., A simple presentation of the mapping class group of an orientable surface, Israel Journal of Mathematics, 45, 157-174 (1983) · Zbl 0533.57002
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