Skip to main content
SpringerLink
Log in

ExtensionsQ-régulières deQ(t) de groupe de Galois 6.A 6 et 6.A 7

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

We prove that 6A 6 and 6A 7 are Galois groups of regular extensions ofQ(t), therefore of infinitely many extensions ofQ.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. K. Arason,Cohomologische Invarianten Quadratischer Formen, Journal of Algebra36 (1975), 448–491.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson,Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups, Clarendon Press, Oxford, 1985.

    MATH  Google Scholar 

  3. J.-F. Mestre,Extensions régulières de Q(t), de groupe de Galois {ie341-1}, Journal of Algebra131 (1990), 483–495.

    Article  MATH  MathSciNet  Google Scholar 

  4. J.-P. Serre,L'invariant de Witt de la forme Tr(x 2), Commentarii Mathematici Helvetici59 (1984), 651–676.

    Article  MATH  MathSciNet  Google Scholar 

  5. J.-P. Serre,Topics in Galois Theory, Research Notes in Mathematics, Jones, and Bartlett, London, 1992.

    MATH  Google Scholar 

  6. J.-P. Serre,Cohomologie galoisienne des extensions transcendantes pures, inCohomologie Galoisienne, 5-ième édition, révisée et complétée, Lecture Notes in Mathematics5 Springer-Verlag, Berlin, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. UFR de Mathématiques, Université de Paris VII, 2 place Jussieu, 75251, Paris Cedex 05, France

    J-F. Mestre

Authors
  1. J-F. Mestre
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J-F. Mestre.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mestre, JF. ExtensionsQ-régulières deQ(t) de groupe de Galois 6.A 6 et 6.A 7 . Isr. J. Math. 107, 333–341 (1998). https://doi.org/10.1007/BF02764017

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02764017

Search

Navigation