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Normal automorphisms of discrete groups

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Literature Cited

  1. J. Neukirch, “Kennzeichnung der p-adischen und der endlichen Zahlkörper,” Invent. Math.,6, 296–314 (1969).

    Google Scholar 

  2. M. Jarden and J. Ritter, “Normal automorphisms of absolute Galois groups of ℬ-adic fields,” Duke Math. J.,47, No. 1, 47–56 (1980).

    Google Scholar 

  3. M. Jarden, “Normal automorphisms of free profinite groups,” J. Algebra,62, No. 1, 118–123 (1980).

    Google Scholar 

  4. A. Lubotzky, “Normal automorphisms of free groups,” J. Algebra,63, No. 2, 494–498 (1980).

    Google Scholar 

  5. A. Lue, “Normal automorphisms of free groups,” J. Algebra,64, No. 1, 52–53 (1980).

    Google Scholar 

  6. A. I. Mal'tsev, “The imbedding of group algebras in algebras with divisor,” Dokl. Akad. Nauk SSSR,60, No. 9, 1499–1501 (1948).

    Google Scholar 

  7. B. H. Neumann, “On ordered division rings,” Trans. Am. Math. Soc.,66, No. 1, 202–252 (1949).

    Google Scholar 

  8. R. H. Crowell and R. H. Fox, Introduction to Knot Theory, Ginn & Co., Boston, Mass. (1965).

    Google Scholar 

  9. V. N. Remeslennikov and V. G. Sokolov, “Some properties of the Magnus imbedding,” Algebra Logika,9, No. 5, 566–578 (1970).

    Google Scholar 

  10. J. Lewin, “A note on zero divisors in group-rings,” Proc. Am. Math. Soc.,31, No. 2, 357–359 (1972).

    Google Scholar 

  11. P. Hall, “On the finiteness of certain soluble groups,” Proc. London Math. Soc., (3)9, 595–622 (1959).

    Google Scholar 

  12. S. Bachmuth, “Automorphisms of free metabelian groups,” Trans. Am. Math. Soc.,118, 93–104 (1965).

    Google Scholar 

  13. A. L. Shmel'kin, “Two remarks about free soluble groups,” Algebra Logika,6, No. 2, 95–109 (1967).

    Google Scholar 

  14. P. Hall, “Finiteness conditions for soluble groups,” Proc. London Math. Soc., (3)4, 419–436 (1954).

    Google Scholar 

  15. A. L. Mal'cev (Mal'tsev), “On free soluble groups,” Sov. Math. Dokl.,1, 65–68 (1960).

    Google Scholar 

  16. K. W. Gruenberg, Relation Modules of Finite Groups, Amer. Math. Soc., Providence, Rhode Island (1976).

    Google Scholar 

  17. C. Curtiss and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, New York-London (1962).

    Google Scholar 

  18. J. P. Serre, Linear Representation of Finite Groups [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  19. G. A. Noskov, V. N. Remeslennikov, and V. A. Roman'kov, “Infinite groups,” in: Results in Science and Technique. Algebra. Topology. Geometry, Vol. 17, All-Union Scientific-Technical Information Institute (VINITI), Moscow (1979).

    Google Scholar 

  20. S. Bachmuth, E. Formanek, and H. Y. Mochizuki, “IA-automorphisms of certain two-generator torsion-free groups,” J. Algebra,40, No. 1, 19–30 (1976).

    Google Scholar 

  21. R. A. Sarkisyan, “Stable automorphisms of some classes of groups,” Sib. Mat. Zh.,13, No. 5, 1090–1106 (1972).

    Google Scholar 

  22. D. R. Farkas and R. L. Snider, “K0 and Noetherian group rings,” J. Algebra,42, 192–198 (1976).

    Google Scholar 

  23. A. V. Jategaonkar, “Integral group rings of polycyclic-byfinite groups,” J. Pure Appl. Algebra,47, No. 3, 337–343 (1974).

    Google Scholar 

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Complex Division of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Omsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 4, pp. 138–149, July–August, 1983.

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Roman'kov, V.A. Normal automorphisms of discrete groups. Sib Math J 24, 604–614 (1983). https://doi.org/10.1007/BF00969558

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  • DOI: https://doi.org/10.1007/BF00969558

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