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References
[B]Brown, K. S.,Cohomology of Groups, Springer-Verlag, 1982.
[BH]Bestvina, M. andHandel, M.,Train tracks and automorphisms of free groups, Annals of Math.135 (1992), 1–51.
[Ch1]Charney, R.,Homology stability for GL n of a Dedekind domain, Invent. Math.56 (1980), 1–17.
[Ch2]Charney, R.,A generalization of a theorem of Vogtmann, J. Pure Appl. Alg.44 (1987), 107–125.
[C]Cohen, F. R.,Artin's braid groups, classical homotopy theory, and sundry other curiosities, Contemp. Math.78 (1988), 167–206.
[Cu]Culler, M.,Finite groups of outer automorphisms of a free group, Contemp. Math.33 (1984), 197–207.
[CV]Culler, M. andVogtmann, K.,Moduli of graphs and automorphisms of free groups, Invent. Math.84 (1986), 91–119.
[G]Gersten, S. M.,A presentation for the special automorphism group of a free group, J. Pure Appl. Alg.33 (1984), 269–279.
[GT1]Goldstein, R. Z. andTurner, E. C.,Automorphisms of free groups and their fixed points, Invent. Math.78 (1984), 1–12.
[GT2]Goldstein, R. Z. andTurner, E. C.,Monomorphisms of finitely generated free groups have finitely generated equalizers, Invent. Math.82 (1985), 283–289.
[H]Harer, J. L.,Stability of the homology of the mapping class groups of orientable surfaces, Annals of Math.121 (1985), 215–249.
[Hat]Hatcher, A.,On triangulations of surfaces, Top. and its Appl.40 (1991), 189–194.
[HM]Hatcher, A. andMcCullough, D.,Finite presentation of 3-manifold mapping class groups, Springer Lecture Notes1425 (1990), 48–57.
[I]Ivanov, N. V.,Complexes of curves and the Teichmüller modular group, Russ. Math. Surv.42:3 (1987), 55–107.
[L1]Laudenbach, F.,Sur les 2-spheres d'une variété de dimension, 3, Annals of Math.97 (1973), 57–81.
[L2]Laudenbach, F.,Topologie de la dimension trois: homotopie et isotopie, Astérisque12 (1974), 1–152.
[M]McCullough, D.,Homotopy groups of the space of self-homotopy-equivalences, Trans. A.M.S.264 (1981), 151–163.
[S]Spanier, E.,Algebraic Topology, McGraw-Hill, 1966.
[vK]van der Kallen, W.,Homology stability for linear groups, Invent. Math.60 (1980), 269–295.
[V]Vogtmann, K.,Spherical posets and homology stability for O n,n, Topology20 (1981), 119–132.
[Wa]Wagoner, J. B.,Stability for homology of the general linear group over a local ring, Topology15 (1976), 417–423.
[W1]Waldhausen, F.,Algebraic K-theory of topological spaces II, Springer Lecture Notes763 (1979), 356–394.
[W2]Waldhausen, F.,Algebraic K-theory of spaces, a manifold approach, Canad. Math. Soc. Conf. Proc. v.2 part 1 (1982), 141–184, A.M.S.
[Wh1]Whitehead, J.H.C.,On certain sets of elements in a free group, Proc. London Math. Soc.41 (1936), 48–56.
[Wh2]Whitehead, J. H. C.,On equivalent sets of elements in a free group, Annals of Math.37 (1936), 782–800.
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Hatcher, A. Homological stability for automorphism groups of free groups. Commentarii Mathematici Helvetici 70, 39–62 (1995). https://doi.org/10.1007/BF02565999
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DOI: https://doi.org/10.1007/BF02565999