Skip to main content
SpringerLink
Log in

On a construction ofp-units in abelian fields

  • Published:
Inventiones mathematicae Aims and scope

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

  • [B] Brumer, A.: On the Units of Algebraic Number Fields. Mathematika14 121–124, (1967)

    Google Scholar 

  • [C] Coleman, R.: Division Values in Local Fields. Invent. Math.53, 91–116 (1979)

    Google Scholar 

  • [Gi] Gillard, R.: Remarques sur les Unités Cyclotomiques et les Unités Elliptiques. J. Number Theory11, 21–48 (1979)

    Google Scholar 

  • [Gra] Gras, G.: Annulation du Groupe desl-classes Généralisées d'une Extension Abélienne Réelle de Degré Premier àl'. Ann. Inst. Fourier, Grenoble29(1), 15–32 (1979)

    Google Scholar 

  • [Gre] Greenberg, R.: Onp-AdicL-functions and Cyclotomic Fields II. Nagoya Math. J.67, 139–158 (1977)

    Google Scholar 

  • [M-Wi] Mazur, B., Wiles, A.: Class Fields of Abelian Extensions of ℚ. Invent. Math.76, 179–330 (1984)

    Google Scholar 

  • [O] Oriat, B.: Annulation de Groupes de Classes Réelles. Nagoya Math. J.81, 45–56 (1981)

    Google Scholar 

  • [Si] Sinnott, W.: On the Stickelberger Ideal and the Circular Units of an Abelian Field. Invent. Math.62 (no. 2), 181–234 (1980/81)

    Google Scholar 

  • [So] Solomon, D.: Galois Relations for Cyclotomic Numbers andp-Units. (to appear)

  • [T] Thaine, F.: On the Ideal Class Groups of Real Abelian Number Fields. Ann. Math.128, p. 1–18 (1988)

    Google Scholar 

  • [Wa] Washington, L.: Introduction to Cyclotomic Fields Berlin Heidelberg New York: Springer 1982

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathématiques pures, Université de Bordeaux, F-33405, Talence, France

    David Solomon

Authors
  1. David Solomon
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 27-IV-1991 & 24-II-1992

Rights and permissions

Reprints and permissions

About this article

Cite this article

Solomon, D. On a construction ofp-units in abelian fields. Invent Math 109, 329–350 (1992). https://doi.org/10.1007/BF01232030

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232030

Keywords

Search

Navigation