#### Volume 11, issue 5 (2011)

 1 S Andreadakis, On the automorphisms of free groups and free nilpotent groups, Proc. London Math. Soc. $(3)$ 15 (1965) 239 MR0188307 2 S Andreadakis, Generators for $\mathrm{Aut} G,$ $G$ free nilpotent, Arch. Math. $($Basel$)$ 42 (1984) 296 MR753347 3 S Bachmuth, Induced automorphisms of free groups and free metabelian groups, Trans. Amer. Math. Soc. 122 (1966) 1 MR0190212 4 J S Birman, Braids, links, and mapping class groups, Annals of Math. Studies 82, Princeton Univ. Press (1974) MR0375281 5 N Bourbaki, Lie groups and Lie algebras. Chapters 1–3, Elements of Math., Springer (1989) MR979493 6 R M Bryant, C K Gupta, Automorphism groups of free nilpotent groups, Arch. Math. $($Basel$)$ 52 (1989) 313 MR998406 7 K T Chen, Integration in free groups, Ann. of Math. $(2)$ 54 (1951) 147 MR0042414 8 F R Cohen, J Pakianathan, On automorphism groups of free groups and their nilpotent quotients, preprint 9 F R Cohen, J Pakianathan, On subgroups of the automorphism group of a free group and associated graded Lie algebras, preprint 10 H S M Coxeter, W O J Moser, Generators and relations for discrete groups, Ergebnisse der Math. und ihrer Grenzgebiete 14, Springer (1972) MR0349820 11 B Farb, Automorphisms of $F_n$ which act trivially on homology, in preparation 12 A M Garsia, Combinatorics of the free Lie algebra and the symmetric group, from: "Analysis, et cetera" (editors P H Rabinowitz, E Zehnder), Academic Press (1990) 309 MR1039352 13 A V Goryaga, Generating elements of the group of automorphisms of a free nilpotent group, Algebra i Logika 15 (1976) 458, 488 MR0450415 14 R Hain, Infinitesimal presentations of the Torelli groups, J. Amer. Math. Soc. 10 (1997) 597 MR1431828 15 D Johnson, An abelian quotient of the mapping class group $\mathcal{I}_{g}$, Math. Ann. 249 (1980) 225 MR579103 16 D Johnson, The structure of the Torelli group—III: The abelianization of $\mathscr T$, Topology 24 (1985) 127 MR793179 17 M D Kassabov, On the automorphism tower of free nilpotent groups, PhD thesis, Yale University (2003) arXiv:math/0311488 18 N Kawazumi, Cohomological aspects of Magnus expansions arXiv:math.GT/0505497 19 A A Kljačko, Lie elements in a tensor algebra, Sibirsk. Mat. Ž. 15 (1974) 1296, 1430 MR0371961 20 K Koike, On the decomposition of tensor products of the representations of the classical groups: by means of the universal characters, Adv. Math. 74 (1989) 57 MR991410 21 M Kontsevich, Formal (non)commutative symplectic geometry, from: "The Gel$'`$fand Mathematical Seminars, 1990–1992" (editors L Corwin, I Gel′‘fand, J Lepowsky), Birkhäuser (1993) 173 MR1247289 22 M Kontsevich, Feynman diagrams and low-dimensional topology, from: "First European Congress of Mathematics, Vol. II (Paris, 1992)" (editors A Joseph, F Mignot, F Murat, B Prum, R Rentschler), Progr. Math. 120, Birkhäuser (1994) 97 MR1341841 23 W Kraśkiewicz, J Weyman, Algebra of coinvariants and the action of a Coxeter element, Bayreuth. Math. Schr. (2001) 265 MR1867283 24 S Krstić, J McCool, The non-finite presentability of $\mathrm{IA}(F_3)$ and $\mathrm{GL}_2(\mathbf{Z}[t,t^{-1}])$, Invent. Math. 129 (1997) 595 MR1465336 25 W Lin, Presentations of the automorphism groups of free nilpotent groups, Comm. Algebra 24 (1996) 3403 MR1405261 26 W Magnus, Über $n$–dimensionale Gittertransformationen, Acta Math. 64 (1935) 353 MR1555401 27 S Morita, Families of Jacobian manifolds and characteristic classes of surface bundles. I, Ann. Inst. Fourier (Grenoble) 39 (1989) 777 MR1030850 28 S Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math. J. 70 (1993) 699 MR1224104 29 S Morita, The extension of Johnson's homomorphism from the Torelli group to the mapping class group, Invent. Math. 111 (1993) 197 MR1193604 30 S Morita, Structure of the mapping class groups of surfaces: a survey and a prospect, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)" (editors J Hass, M Scharlemann), Geom. Topol. Monogr. 2 (1999) 349 MR1734418 31 S Morita, Cohomological structure of the mapping class group and beyond, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 329 MR2264550 32 J Nielsen, Die Isomorphismengruppe der freien Gruppen, Math. Ann. 91 (1924) 169 MR1512188 33 A Pettet, The Johnson homomorphism and the second cohomology of $\mathrm{IA}_n$, Algebr. Geom. Topol. 5 (2005) 725 MR2153110 34 C Reutenauer, Free Lie algebras, London Math. Soc. Monogr. New Series 7, Oxford Science Publ., The Clarendon Press, Oxford Univ. Press (1993) MR1231799 35 T Satoh, New obstructions for the surjectivity of the Johnson homomorphism of the automorphism group of a free group, J. London Math. Soc. $(2)$ 74 (2006) 341 MR2269583 36 T Satoh, Twisted first homology groups of the automorphism group of a free group, J. Pure Appl. Algebra 204 (2006) 334 MR2184815 37 T Satoh, The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group, Trans. Amer. Math. Soc. 361 (2009) 2085 MR2465830 38 T Satoh, On the lower central series of the IA-automorphism group of a free group, preprint (2009) 39 T Satoh, On the fourth Johnson homomorphism of the automorphism group of a free group, J. Algebra 323 (2010) 3182 MR2639972 40 T Satoh, A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group, Trans. Amer. Math. Soc. 363 (2011) 1631 MR2737281 41 E Witt, Treue Darstellung Liescher Ringe, J. Reine Angew. Math. 177 (1937) 152