This is a preview of subscription content, log in via an institution to check access.
References
A. Lubotzky, “Combinatorial group theory for pro-p-groups,” J. Pure Appl. Algebra,25., 311–325 (1982).
D. Gildenhuys, W. Herfort, and L. Ribes, “Profinite Frobenius groups,” Arch. Math.,33, 518–528 (1979).
W. Herfort and L. Ribes, “On automorphisms of free pro-p-groups I,” Proc. Amer. Math. Soc.,108, No. 2, 287–295 (1990).
A. V. Goryaga, “On generators for the automorphism group of a free nilpotent group,” Algebra i Logika,15, No. 4, 458–463 (1976).
S. Andreadakis, “Generators for AutG, G free nilpotent,” Arch. Math.,42, 296–300 (1984).
R. M. Bryant and C. K. Gupta, “Automorphism groups of free nilpotent groups,” Arch. Math.,52, 313–320 (1989).
S. Andreadakis and C. K. Gupta, “Automorphism groups of free metabelian nilpotent, groups,” Algebra i Logika,30 (1991).
V. N. Remeslennikov, “Embedding theorems for profinite groups,” Izv. Akad. Nauk SSSR Ser. Mat.,43, No. 2, 399–417 (1979).
S. Bachmuth, “Automorphisms of free metabelian groups,” Trans. Amer. Math. Soc.,118, 93–104 (1965).
N. Gupta, “Free group rings,” Contemp. Math.,66 (1987).
O. V. Mel'nikov, V. N. Remeslennikov, V. A. Roman'kov, L. A. Skornyakov, and I. P. Shestakov, General Algebra. I [in Russian], Nauka, Moscow (1990).
V. A. Artamonov, “Projective metabelian groups and Lie algebras,” Izv. Akad. Nauk SSSR Ser. Mat.,42, No. 2, 226–236 (1978).
P. Straud, Ph. D. Thesis, Cambridge (1965).
V. A. Roman'kov, “On width of verbal subgroups of soluble groups,” Algebra i Logika,21, No. 1, 60–72 (1982).
H. Neumann, Varieties of Groups, Springer-Verlag (1967).
J. D. Dixon, M. P. F. du Sautoy, A. Mann, and D. Segal, Analytic Pro-p-Groups, London Lect. Note Ser.,157, Cambridge (1991).
S. Bachmuth and H. Y. Mochizuki, “Aut (F) → Aut (F/F′') is surjective for the free groupF of rankn≥4,” Trans. Amer. Math. Soc.,292, 81–101 (1985).
V. A. Roman'kov, “Automorphism groups of free metabelian groups,” in: Questions About Interrelation Between Pure and Applied Algebras [in Russian], Novosibirsk (1985).
S. Bachmuth, “Induced automorphisms of free groups and free metabelian groups,” Trans. Amer. Math. Soc.,122, 1–17 (1966).
O. Chein, “IA-automorphisms of free and free metabelian groups,” Comm. Pure Appl. Math.21, 605–629 (1968).
S. Bachmuth and H. Y. Mochizuki, “The non-finite generation of Aut (G),G free metabelian of rank 3,” Trans. Amer. Math. Soc.,270, 693–700 (1982).
A. Weil, Basic Number Theory [Russian translation], Mir, Moscow (1972).
Additional information
Omsk. Translated fromSibirskiî Matematicheskiî Zhurnal Vol. 33, No. 5, pp. 145–158, September–October, 1992.
Translated by A. Z. Anan'in
Rights and permissions
About this article
Cite this article
Roman'kov, V.A. Generators for the automorphism groups of free metabelian pro-p-groups. Sib Math J 33, 878–890 (1992). https://doi.org/10.1007/BF00970996
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970996