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On free products of absolute Galois groups

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References

  1. M. Jarden, “Infinite Galois theory”, in: Handbook of Algebra, 1996,1, pp. 271–319.

  2. O. V. Mel'nikov and O. I. Tavgen, “The absolute Galois group of a Henselian field,” Dokl. Akad. Nauk BSSR,29, No. 7, 581–583 (1985).

    MATH  MathSciNet  Google Scholar 

  3. W.-D. Geyer, “Galois groups of intersections of local fields,” Israel J. Math.,30, No. 4, 382–396 (1978).

    MATH  MathSciNet  Google Scholar 

  4. J.-P. Serre, Galois Cohomologies [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  5. K. W. Gruenberg, “Projective profinite groups,” J. London Math. Soc.,42, No. 1, 155–165 (1967).

    Article  MATH  MathSciNet  Google Scholar 

  6. H. Leptin, “Eine Darstellungsatz für kompakte total unzusammenhängende Gruppen,” Arch. Math., Bd.6, No. 5, 371–373 (1955).

    Article  MathSciNet  Google Scholar 

  7. S. Lang, Algebra [Russian translation] Mir, Moscow (1968).

    MATH  Google Scholar 

  8. D. Haran and A. Lubotzky, “Maximal abelian subgroups of free profinite groups,” Math. Proc. Cambridge Phil. Soc.,97, No. 1, 51–55 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  9. O. V. Mel'nikov, “Subgroups and cohomologies of products of free profinite groups,” Izv. Akad. Nauk SSSR Ser. Mat.,53, No. 1, 97–120 (1989).

    MATH  Google Scholar 

  10. D. Gildenhuys and C.-K. Lim, “Free pro-ϱ-groups,” Math. Z., Bd. 125, No. 1, 233–254 (1972).

    Article  MATH  MathSciNet  Google Scholar 

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Authors
  1. O. V. Mel'nikov
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Dedicated to the memory of Vladimir Sergeevich Konyukh, a colleague and friend.

Minsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 1, pp 113–118, January–February, 1999.

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Mel'nikov, O.V. On free products of absolute Galois groups. Sib Math J 40, 95–99 (1999). https://doi.org/10.1007/BF02674295

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  • DOI: https://doi.org/10.1007/BF02674295

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