Skip to main content
Log in

Lower bounds for the order ofK 2(ℤG) andWh 2(G)

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Alperin, R. C., Dennis, R. K., Stein, M. R.: The non-triviality ofSK 1 (ℤπ), pp. 1–7. Lecture Notes in Mathematics 353. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  2. Bass, H.: AlgebraicK-Theory. New York: Benjamin 1968

    Google Scholar 

  3. Bass, H., Milnor, J., Serre, J. P.: Solution of the congruence subgroup problem forSL n (n≧3) andSp 2n (n≧2). Publ. Math. IHES33, 59–137 (1967)

    Google Scholar 

  4. Bloch, S.: RelativeK 2 for truncated polynomial rings. Private communication (cf. AlgebraicK-theory and Crystalline Cohomology, § II.8, to appear)

  5. Borel, A.: Linear algebraic groups. New York: W. A. Benjamin 1969

    Google Scholar 

  6. Dunwoody, M. J.:K 2(ℤπ) for π a group of order two or three. J. London Math. Soc. (2)11, 481–490 (1975)

    Google Scholar 

  7. Hatcher, A. E.: Pseudo-isotopy andK 2, pp. 328–336. Lecture Notes in Mathematics 342. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  8. Hatcher, A. E., Wagoner, J.: Pseudo-isotopies of compact manifolds. Astérisque6, 1–275 (1973)

    Google Scholar 

  9. Keating, M. E.: On theK-theory of the quaternion group. Mathematika20, 59–62 (1973)

    Google Scholar 

  10. Milnor, J.: Introduction to algebraicK-theory. Annals of Math. Studies No. 72. Princeton: Princeton University Press 1971

    Google Scholar 

  11. Stein, M. R.: Surjective stability in dimensionO forK 2 and related functors. Trans. Amer. Math. Soc.178, 165–191 (1973)

    Google Scholar 

  12. Stein, M. R., Dennis, R. K.:K 2 of radical ideals and semi-local rings revisited, pp. 281–303. Lecture Notes in Mathematics 342. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  13. Swan, R. G.: Excision in algebraicK-theory. J. Pure and Applied Alg.1, 221–252 (1971)

    Google Scholar 

  14. van der Kallen, W.: LeK 2 des nombres duaux. C.R. Ac. Sc. Paris, t.273, 1204–1207 (1971)

    Google Scholar 

  15. van der Kallen, W., Maazen, H., Stienstra, J.: A presentation for someK 2(n, R). Bull. Amer. Math. Soc.81, 934–936 (1975)

    Google Scholar 

  16. Wagoner, J. B.: Algebraic invariants for pseudo-isotopies, pp. 164–195 of Proceedings of Liver-pool Singularities Symposium II. Lecture Notes in Mathematics 209. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by NSF-GP-40773

Partially supported by NSF-GP-28915

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dennis, R.K., Keating, M.E. & Stein, M.R. Lower bounds for the order ofK 2(ℤG) andWh 2(G). Math. Ann. 223, 97–103 (1976). https://doi.org/10.1007/BF01360875

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360875

Navigation