Two theorems on the mapping class group of a surface. (English) Zbl 0391.57009


57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
20F05 Generators, relations, and presentations of groups
20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects)
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[1] Joan S. Birman, Abelian quotients of the mapping class group of a 2-manifold, Bull. Amer. Math. Soc. 76 (1970), 147 – 150. · Zbl 0191.22401
[2] Joan S. Birman, Braids, links, and mapping class groups, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1974. Annals of Mathematics Studies, No. 82. · Zbl 0297.57001
[3] Joan S. Birman, On Siegel’s modular group, Math. Ann. 191 (1971), 59 – 68. · Zbl 0208.10601
[4] W. B. R. Lickorish, A finite set of generators for the homeotopy group of a 2-manifold, Proc. Cambridge Philos. Soc. 60 (1964), 769 – 778. · Zbl 0131.20801
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