Skip to main content
Log in

An analogue of Stickelberger's theorem for the higherK-groups

  • 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. Borel, A.: Cohomologie réelle stable des groupesS-arithmétiques classiques, C. R. Acad. Sci. Paris,274, 1700–1702 (1972)

    Google Scholar 

  2. Borevich, Z., Shafarevich, I.: Number Theory (translated from Russian), New York: Academic Press 1966

    Google Scholar 

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

    Google Scholar 

  4. coates, J.:K-theory and Iwasawa's analogue of the Jacobian In: AlgebraicK-theory II, p. 502–520. Lecture Notes in Mathematics342. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  5. Coates, J., Lichtenbaum, S.: Onl-adic zeta functions. Ann. of Math98, 498–550 (1973)

    Google Scholar 

  6. Coates, J., Sinnott, W.: Onp-adicL-functions over real quadratic fields (to appear)

  7. Garland, H.: A finiteness theorem for theK 2 of a number field. Ann. of Math.94, 534–548 (1971)

    Google Scholar 

  8. Iwasawa, K.: Onp-adicL-functions. Ann. of Math.89, 198–205 (1969)

    Google Scholar 

  9. Leopoldt, H.: Zur Arithmetik in abelschen Zahlkörpern. J. reine angew. Math.209, 54–71 (1962)

    Google Scholar 

  10. Lichtenbaum, S.: Values of zeta functions, étale cohomology, and algebraicK-theory. In: AlgebraicK-theory II, p. 489–501. Lecture Notes in Mathematics342 Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  11. Milnor, J.: Introduction to algebraicK-theory. Ann. of Math. Studies,72 (1971)

  12. Quillen, D.: Finite generation of the groupsK i of rings of algebraic integers. In: AlgebraicK-theory I, p. 179–198, Lecture Notes in Mathematics341, Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  13. Quillen, D.: Higher algebraicK-theory I. In: AlgebraicK-theory I, p. 85–147. Lecture Notes in Mathematics341. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  14. Rideout, D.: A generalization of Stickelberger's theorem. Ph. D. thesis, McGill University, Montreal 1970

    Google Scholar 

  15. Siegel, C.: Über die Fourierschen Koeffizienten von Modulformen. Göttingen Nach.3, 15–56 (1970)

    Google Scholar 

  16. Tate, J.: Letter from Tate to Iwasawa on a relation betweenK 2 and Galois cohomology. In: AlgebraicK-theory II, p. 524–527. Lecture Notes in Mathematics342 Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by a grant from the Sloan Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coates, J., Sinnott, W. An analogue of Stickelberger's theorem for the higherK-groups. Invent Math 24, 149–161 (1974). https://doi.org/10.1007/BF01404303

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404303

Navigation