Keywords
- Automorphism Group
- Variety Versus
- Polynomial Ring
- Faithful Representation
- Commutator Subgroup
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
S. Andreadakis, ‘Automorphisms of free group and free nilpotent groups', Proc. London Math. Soc., 15 (1965), 239–268.
S. Bachmuth, G. Baumslag, J. Dyer, and H.Y. Mochizuki, ‘Automorphism groups of 2-generator metabelian groups', to appear in J. London Math. Soc.
S. Bachmuth, ‘Automorphisms of free metabelian groups', Trans. Amer. Math. Soc., 118(1965), 93–104.
S. Bachmuth and H.Y. Mochizuki, ‘Automorphisms of a class of metabelian groups II', Trans. Amer. Math. Soc., (1967), 294–301.
_____, ‘The non-finite generation of Aut(G), G free metabelian of rank 3', Trans. Amer. Math. Soc., 270(1982), 693–700.
_____, ‘Aut(F) → Aut(F/F″) is surjective for free group F of rank ≥ 4', Trans. Amer. Math. Soc., 292(1985), 81–101.
_____, ‘The tame range of automorphism groups and GL n', preprint.
D. Johnson, ‘The structure of Torelli group I: A finite set of generators for T', Annals of Math., 118(1983), 423–442.
D. McCullough and A. Miller, ‘The genus 2 Torelli group is not finitely generated', Topology and Its Applications, 22(1986), 43–49.
G. Mess, personal communication.
J. Nielson, ‘Die Isomorphismengruppe der freien Gruppen', Math. Ann., 91(1924), 169–209.
E. Stohr, On automorphisms of free center-by-metabelian groups, Akademic Der Wissenschaft Der DDR, Inst. Für Mathematik, Berlin 1985.
A.A. Suslin, ‘On the structure of the special linear group over polynomial rings', Isv. Akad. Nauk., 11(1977), 221–238.
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© 1989 Springer-Verlag
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Bachmuth, S., Mochizuki, H.Y. (1989). Infinite generation of automorphism groups. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1988. Lecture Notes in Mathematics, vol 1398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086236
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DOI: https://doi.org/10.1007/BFb0086236
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