Skip to main content
SpringerLink
Log in

TheK-admissibility of 2A 6 and 2A 7

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

Abstract

LetK be a field and letG be a finite group.G isK-admissible if there exists a Galois extensionL ofK withG=Gal(L/K) such thatL is a maximal subfield of a centralK-division algebra. This paper contains a characterization of those number fields which areQ 16-admissible. This is the same class of number fields which are 2A 6=SL(2, 9) and 2A 7 admissible.

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. B. Fein and M. Schacher,Q-admissibility questions for alternating groups, J. Algebra142 (1991), 360–382.

    Article  MATH  MathSciNet  Google Scholar 

  2. W. Feit,The Q-admissibility of 2A 6 and 2A 7, to appear.

  3. P. Feit and W. Feit,The K-admissibility of SL(2,5), Geometriae Dedicata36 (1990), 1–13.

    Article  MATH  MathSciNet  Google Scholar 

  4. J.-F. Mestre,Extensions reguliéres de Q(T)de groupe de Galois à n , J. Algebra131 (1990), 483–496.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Schacher,Subfields of division rings, J. Algebra9 (1968), 451–477.

    Article  MATH  MathSciNet  Google Scholar 

  6. M. Schacher and J. Sonn,K-Admissibility of A 6 and A 7, J. Algebra145 (1992), 333–338.

    Article  MATH  MathSciNet  Google Scholar 

  7. J.-P. Serre,L’invariant de Witt de la forme Tr(x 2), Comment. Math. Helv.59 (1984), 651–676.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Yale University, Box 2155-Yale Station, 06520, New Haven, CT, USA

    Walter Feit

Authors
  1. Walter Feit
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to John Thompson to celebrate his Wolf Prize in Mathematics 1992

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feit, W. TheK-admissibility of 2A 6 and 2A 7 . Israel J. Math. 82, 141–156 (1993). https://doi.org/10.1007/BF02808111

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02808111

Keywords

Search

Navigation