Skip to main content
SpringerLink
Log in

Higher degree tame hilbert-symbol equivalence of number fields

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

References

  1. J. Carpenter, Finiteness theorems for forms over global fields.Math. Zeit. 209 (1992), 153–166.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. W. CASSELS andA. FRÖhlich,Algebraic Number Theory. Academic Press, 1967.

  3. P. E. Conner, R. Perus, andK. Szymiczek, Wild sets and 2-ranks of class groups.Acta Arithm. 79 (1997), 83–91.

    MATH  Google Scholar 

  4. A. Czogala, On reciprocity equivalence of quadratic number fields.Acta Arithm. 58 (1991),365–387.

    MathSciNet  Google Scholar 

  5. —,On integral Witt equivalence of algebraic number fields.Acta Math, et Inform. Univ. Ostraviensis 4 (1996), 7–20.

    MATH  MathSciNet  Google Scholar 

  6. A. Czogala andA. Sladek, Higher degree Hubert symbol equivalence of number fields.Tatra Mountains Math. Publ. 11 (1997), 77–88.

    MATH  MathSciNet  Google Scholar 

  7. —, Higher degree Hubert symbol equivalence of number fields II.J. of Number Theory 72 (1998), 363–376.

    Article  MATH  MathSciNet  Google Scholar 

  8. J. Milnor, Algebraic K-Theory and quadratic forms.Invent. Math. 9 (1970), 318–344.

    Article  MATH  MathSciNet  Google Scholar 

  9. J. Neukirch,Class Field Theory. Springer, 1986.

  10. W. Narkiewicz,Elementary and Analytic Theory of Algebraic Numbers. PWN Warszawa, Springer 1990.

    MATH  Google Scholar 

  11. R. Perlis, K. Szymiczek, P. Conner, andR. Litherland, Matching Witts with global fields.Contemp. Math. 155 (1994), 365–387.

    MathSciNet  Google Scholar 

  12. A. Sladek, Hubert symbol equivalence and Milnor K-functor.Acta Math. et Inform. Univ. Ostraviensis 6 (1998), 183–189.

    MATH  MathSciNet  Google Scholar 

  13. K. Szymiczek, Witt equivalence of global fields.Commun. Alg. 19(4) (1991), 1125- 1149.

    Article  MATH  MathSciNet  Google Scholar 

  14. _, Tame Equivalence and Wild Sets.Semigroup Forum (To appear).

  15. —, A characterization of tame Hilbert-symbol equivalence.Acta Math. et Inform. Univ. Ostraviensis 6 (1998), 191–201.

    MATH  MathSciNet  Google Scholar 

  16. _,Bilinear Algebra. Gordon and Breach, 1997.

  17. J. Täte, Relations betweenK 2 and Galois cohomology.Invent. Math. 36 (1976), 257–274.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut of Mathematics, Silesian University, Bankowa 14, PL-40-007, Katowice, Poland

    Alfred Czogala

Authors
  1. Alfred Czogala
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alfred Czogala.

Additional information

Supported by the State Committee for Scientific Research (KBN) of Poland under Grant 2 P03A 024 12.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Czogala, A. Higher degree tame hilbert-symbol equivalence of number fields. Abh.Math.Semin.Univ.Hambg. 69, 175–185 (1999). https://doi.org/10.1007/BF02940871

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02940871

Keywords

Search

Navigation