Skip to main content
Log in

An idelic approach to the wild kernel

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. Bertrandias, F., Payan, J.-J.: Γ-extensions et invariants cyclotomiques. Ann. Sci. Ec. Norm. Super.5, 517–543 (1972)

    Google Scholar 

  2. Candiotti, A., Kramer, K.: On the 2-Sylow subgroup of the Hilbert Kernel of number fields. Acta Arith. (to appear)

  3. Coates, J.: OnK 2 and some classical conjectures in algebraic number theory. Ann. Math.95, 99–116 (1972)

    Google Scholar 

  4. Federer, L.: The non-vanishing of Grossp-adic regulator Galois cohomologically. Astérisque147–148, 71–77 (1987)

    Google Scholar 

  5. Federer, L., Gross, B.H. (with an appendix by W. Sinnott): Regulators and Iwasawa modules. Invent Math.62, 443–457 (1981)

    Google Scholar 

  6. Gillard, R.: Formulations de la conjecture de Leopoldt et étude d'une condition suffisante. Abh. Math. Semin Univ Hamb48, 125–138 (1979)

    Google Scholar 

  7. Greenberg, R.: On a certainl-adic representation. Invent. Math.21, 117–124 (1973)

    Google Scholar 

  8. Greenberg, R.: A note onK 2 and the theory of ℤ p -extensions. Am. J. Math.100, 1235–1245 (1978)

    Google Scholar 

  9. Gross, B.H.: “p-adicL-series ats=0”, J. Fac. Sci. Univ. Tokyo1A 28, 919–994 (1981)

    Google Scholar 

  10. Habdank, G.: Funktorielle Eigenschaften von Normrestsymbolen. Diplomarbeit, Bielefeld 1981

  11. Iwasawa, K.: On ℤ l -extensions of algebraic number fields. Ann. Math.98, 246–326 (1973)

    Google Scholar 

  12. Iwasawa, K.: On cohomology groups of units for ℤ p -extensions. Am. J. Math.105, 189–200 (1983)

    Google Scholar 

  13. Jaulent, J.-F.: L'arithmetique desl-extensions. Thèse, Université de Franche Comté 1986

  14. Jaulent, J.-F.: Représentationsl-adiques et invariants cyclotomiques. Publ. Math. Fac. Sci. Besançon, Theor. Nombres 1983–1984

  15. Jaulent, J.-F.: Sur le genre des corps surcirculaires. Publ. Math. Fac. Sci. Besançon, Théor. Nombres, 1986–1987

  16. Jaulent, J.-F.: Dualité dans les corps surcirculaires. Sémin. Theor. Nombres Paris 1986–1987, Birkhäuser 1987

  17. Jaulent, J.-F.: Noyau universel et valeurs absolues. Preprint (1989)

  18. Kolster, M.: The structure of the 2-Sylow subgroup ofK 2 (o), I. Commun. Math. Helv.61, 376–388 (1986)

    Google Scholar 

  19. Kolster, M.: The structure of the 2-Sylow and subgroup ofK 2 (o), II. K-theory1, 467–479 (1987)

    Google Scholar 

  20. Kolster, M.: Odd torsion in the tame kernel of totally real number fields, AlgebraicK-theory: Connections with Geometry and Topology, Kluwer 1989, pp. 177–188

  21. Kramer, K.: On the Hilbert kernel ofK-theory and the Gross regulator. Preprint (1988)

  22. Kramer, K., Candiotti, A.: OnK 2 and ℤ l -extensions of number fields. Am. J. Math.100, 177–196 (1978)

    Google Scholar 

  23. Kuzmin, L.V.: The Tate module for algebraic number fields. Math. USSR, Izv. 6,2, 263–321 (1972)

    Google Scholar 

  24. Lang, S.: Cyclotomic fields, II. Springer: Berlin Heidelberg New York 1981

    Google Scholar 

  25. Milnor, J.: Introduction to algebraicK-theory. Ann. Math. Stud72, Princeton: Princeton University Press, 1971

    Google Scholar 

  26. Nguyen Quang Do, T.: Sur laZ p-torsion de certains modules galoisiens. Ann. Sci. Inst. Fourier36, 27–46 (1986)

    Google Scholar 

  27. Nguyen Quang Do, T.: Sur la torsion de certains modules galoisiens II. Sémin. Theor. Nombres Paris 1986–1987, Birkhauser 1987

  28. Tate, J.: Relations betweenK 2 and Galois cohomology. Invent. Math.36, 257–224 (1976)

    Google Scholar 

  29. Wingberg, K.: Duality theorems for Γ-extensions of algebraic number fields. Compos. Math.55, 333–381 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum 22-XI-1989

Research partially supported by NSERC grant # OGP 0042510

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolster, M. An idelic approach to the wild kernel. Invent Math 103, 9–24 (1991). https://doi.org/10.1007/BF01239507

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01239507

Navigation