Skip to main content
SpringerLink
Log in

Sk1 for finite group rings: III

  • Conference paper
  • First Online:
Algebraic K-Theory Evanston 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 854))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Bak, Surgery and K-theory groups of quadratic forms over finite groups and orders (Preprint).

    Google Scholar 

  2. H. Bass, Algebraic K-theory, Benjamin (1968).

    Google Scholar 

  3. H. Bass, J. Milnor, and J.-P. Serre, Solution of the congruence subgroup problem for SLn (n≥3) and Sp2n(n≥2), Inst. Hautes Etudes Sci.Publ.Math.No.33(1967), 59–137.

    Google Scholar 

  4. H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press (1956).

    Google Scholar 

  5. C. Curtis and I. Reiner, Representation theory of finite groups and associated algebras, Interscience (1962).

    Google Scholar 

  6. A. Dress, Introduction and structure theorems for orthogonal representations of finite groups, Annals of Math. 102(1975), 291–325.

    Article  MathSciNet  MATH  Google Scholar 

  7. D. Grayson, Higher algebraic K-theory II, Lecture Notes in Math., vol.551, Springer-Verlag (1956), 217–240.

    Google Scholar 

  8. B. Huppert, Endliche Grouppen, Springer-Verlag (1967).

    Google Scholar 

  9. T.-Y. Lam, Introduction theorems for Grothendieck groups and Whitehead groups of finite groups, Ann.Sci.Ecole Norm. Sup.1 (1968), 91–148.

    MathSciNet  MATH  Google Scholar 

  10. B. Magurn, SK1 of dihedral groups, J.Algebra 51 (1978), 399–415.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Milnor, Introduction to algebraic K-theory, Princeton Univ.Press (1971).

    Google Scholar 

  12. R. Oliver, SK1 for finite group rings: I, Invent.math. 57(1980), 183–204.

    Article  MathSciNet  Google Scholar 

  13. R. Oliver, SK1 for finite group rings: II, Math. Scand. (to appear)

    Google Scholar 

  14. D. Quillen, Higher algebraic K-theory I, Lecture Notes in Math., vol.341, Springer-Verlag(1973), 85–147.

    Google Scholar 

  15. I. Reiner, Maximal orders, Academic Press (1975).

    Google Scholar 

  16. J. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, Journal reine ang.Math.139(1911), 155–250.

    MathSciNet  MATH  Google Scholar 

  17. J.-P. Serre, Représentations linéaires des groupes finis, Hermann (1967).

    Google Scholar 

  18. M. Stein, Surjectivity stability in dimension 0 for K2 and related functors, Trans.Amer.Math.Soc.178(1973), 165–191.

    MathSciNet  Google Scholar 

  19. M. Stein, Whitehead groups of finite groups, Bull.Amer.Math.Soc. 84(1978), 201–212.

    Article  MathSciNet  MATH  Google Scholar 

  20. C.T.C. Wall, On the classification of hermetian forms, III: Complete semilocal rings, Invent.Math. 19(1973), 59–71.

    Article  MathSciNet  MATH  Google Scholar 

  21. C.T.C. Wall, Norms of units in group rings, Proc. London Math.Soc. 29(1974),593–632.

    Article  MathSciNet  MATH  Google Scholar 

  22. A. Weil, Basic Number Theory, Springer-Verlag (1967).

    Google Scholar 

Download references

Authors
  1. Robert Oliver
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Eric M. Friedlander Michael R. Stein

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Oliver, R. (1981). Sk1 for finite group rings: III. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089527

Download citation

  • DOI: https://doi.org/10.1007/BFb0089527

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10698-2

  • Online ISBN: 978-3-540-38646-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation