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Infinite generation of automorphism groups of free pro-p groups

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References

  1. 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).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. J.-P. Serre, Lie Algebras and Lie Groups [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  4. M. Lazard, “Groupes analytiquesp-adiques,” Inst. Hautes Études Scientifiques, Publ. Mat.,26, 389–603 (1965).

    Google Scholar 

  5. 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.

    Google Scholar 

  6. V. A. Roman'kov, “Generators for automorphism groups of free metabelian pro-p groups,” Sibirsk. Mat. Zh.,33, No. 5, 145–158 (1992).

    Google Scholar 

  7. A. V. Goryaga, “On generators for the automorphism group of a free nilpotent group,” Algebra i Logika,15, No. 4, 458–463 (1976).

    Google Scholar 

  8. S. Andreadakis, “Generators for AutG, G free nilpotent,” Arch. Math.,42, 296–300 (1984).

    Google Scholar 

  9. R. M. Bryant and C. K. Gupta, “Automorphism groups of free metabelian nilpotent groups,” Arch. Math.,52, 313–320 (1989).

    Google Scholar 

  10. C. K. Gupta, “Automorphisms of certain relatively free solvable groups,” in: Proc. of Conf. “Groups-Korea 1988,” Pusan, 1988, pp. 82–85.

  11. V. N. Remeslennikov, “Embedding theorems for profinite groups,” Izv. Akad. Nauk SSSR Ser. Mat.,43, No. 2, 399–417 (1979).

    Google Scholar 

  12. O. V. Mel'nikov, “Characteristic subgroups and automorphisms of free profinite groups,” Mat. Zametki,31, No. 3, 339–349 (1982).

    Google Scholar 

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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

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