References
J. D. Dixon, M. P. F. du Sautoy, A. Mann, and D. Segal, Analytic Pro-p Groups, London Math. Soc. Lecture Note Ser.,157, Cambridge Univ. Press, Cambridge (1991).
O. V. Mel'nikov, V. N. Remeslennikov, V. A. Roman'kov, L. A. Skornyakov, and I. P. Shestakov, General Algebra. Vol. 1 [in Russian], Nauka, Moscow (1990).
J.-P. Serre, Lie Algebras and Lie Groups [Russian translation], Mir, Moscow (1969).
M. Lazard, “Groupes analytiquesp-adiques,” Inst. Hautes Études Scientifiques, Publ. Mat.,26, 389–603 (1965).
V. A. Roman'kov, “Automorphism groups of free metabelian pro-p groups,” in: Abstracts to the Group Theory: International Algebraic Conference in Memory of A. I. Shirshov (Barnaul, August 20–25, 1991) Inst. Mat., Novosibirsk, 1988, p. 160.
V. A. Roman'kov, “Generators for automorphism groups of free metabelian pro-p groups,” Sibirsk. Mat. Zh.,33, No. 5, 145–158 (1992).
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 metabelian nilpotent groups,” Arch. Math.,52, 313–320 (1989).
C. K. Gupta, “Automorphisms of certain relatively free solvable groups,” in: Proc. of Conf. “Groups-Korea 1988,” Pusan, 1988, pp. 82–85.
V. N. Remeslennikov, “Embedding theorems for profinite groups,” Izv. Akad. Nauk SSSR Ser. Mat.,43, No. 2, 399–417 (1979).
O. V. Mel'nikov, “Characteristic subgroups and automorphisms of free profinite groups,” Mat. Zametki,31, No. 3, 339–349 (1982).
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Omsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp. 153–159, July–August, 1993.
Translated by A. Z. Anan'in
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Roman'kov, V.A. Infinite generation of automorphism groups of free pro-p groups. Sib Math J 34, 727–732 (1993). https://doi.org/10.1007/BF00975176
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DOI: https://doi.org/10.1007/BF00975176