Homeomorphisms of a surface which act trivially on homology. (English) Zbl 0407.57003


57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
20F05 Generators, relations, and presentations of groups
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
20F38 Other groups related to topology or analysis


Zbl 0391.57009
Full Text: DOI


[1] Joan S. Birman and R. Craggs, The \?-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold, Trans. Amer. Math. Soc. 237 (1978), 283 – 309. · Zbl 0383.57006
[2] W. Magnus, A. Karass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
[3] Jerome Powell, Two theorems on the mapping class group of a surface, Proc. Amer. Math. Soc. 68 (1978), no. 3, 347 – 350. · Zbl 0391.57009
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