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An abelian quotient of the mapping class group $$\mathfrak S$$. (English) Zbl 0409.57009

##### MSC:
 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
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##### References:
 [1] Birman, J.:Braids, links, and mapping class groups. Annals of Math. Studies No. 82. Princeton: Princeton Univ. Press 1975 · Zbl 0305.57013 [2] Birman, J., Craggs, R.: 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, 283-309 (1978) · Zbl 0383.57006 [3] Chillingworth, D.R.J.: Winding numbers on surfaces. I. Math. Ann.196, 218-249 (1972) · Zbl 0227.57001 · doi:10.1007/BF01428050 [4] Chillingworth, D.R.J.: Winding numbers on surfaces. II. Math. Ann.199, 131-153 (1972) · Zbl 0238.57001 · doi:10.1007/BF01431419 [5] Johnson, D.: Homeomorphisms of a surface which act trivially on homology. Proc. AMS75, 119-125 (1979) · Zbl 0407.57003 · doi:10.1090/S0002-9939-1979-0529227-4 [6] Johnson, D.: Quadratic forms and the Birman-Craggs homomorphisms. Amer. Math. Soc. (to appear) · Zbl 0457.57006 [7] Milnor, J.: Introduction to AlgebraicK-theory. Annals of Math. Studies No. 72. Princeton: Princeton Univ. Press 1971 · Zbl 0237.18005 [8] Magnus, W., Karass, A., Solitar, D.: Combinatorial group theory. New York: Interscience 1966 [9] Powell, J.: Two theorems on the mapping class group of surfaces. Proc. Amer. Math. Soc.68, 347-350 (1978) · Zbl 0391.57009 · doi:10.1090/S0002-9939-1978-0494115-8 [10] Reinhart, B.L.: The winding number on 2-manifolds. Ann. Inst. Fourier (Grenoble)10, 271-283 (1960) · Zbl 0097.16203
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