Skip to main content

Exact sequences for locally free class groups

  • 587 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 967)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Bass, "Algebraic K-theory," Mathematics Lecture Note Series, Benjamin, New York, 1968.

    MATH  Google Scholar 

  2. A. Fröhlich, Locally free modules over arithmetic orders, J. Reine Angew. Math. 274 (1975), 112–124.

    MathSciNet  MATH  Google Scholar 

  3. H. Jacobinski, Genera and decomposition of lattices over orders, Acta Math. 121 (1968), 1–29.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. Milnor, "Introduction to Algebraic K-Theory," Annals of Math. Studies #72, Princeton University Press, Princeton, New Jersey, 1971.

    MATH  Google Scholar 

  5. I. Reiner, Class groups and Picard groups of integral group rings and orders, Regional Conference Math., Amer. Math. Soc., vol. 26 (1976).

    Google Scholar 

  6. _____, "Maximal Orders," Academic Press, New York, 1975.

    MATH  Google Scholar 

  7. _____, Projective class groups of symmetric and alternating groups, Linear and Multilinear Algebra, 3 (1975), 147–153.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. I. Reiner and S. Ullom, A Mayer-Vietoris sequence for class groups, J. of Algebra, 31 (1974), 305–342.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. R. G. Swan, The Grothendieck ring of a finite group, Topology, 2 (1963), 85–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. _____, Strong approximation and locally free modules, "Ring Theory and Algebra III," B. R. McDonald, ed., Marcel Dekker, New York, 1980.

    Google Scholar 

  11. R. G. Swan and E. G. Evans, "K-Theory of Finite Groups and Orders," Springer Lecture Notes # 149, Springer-Verlag, Berlin/New York, 1970.

    Google Scholar 

  12. S. Ullom, A survey of class groups of integral group rings, "Algebraic Number Fields," A. Fröhlich, ed., Academic Press, New York, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Matchett, A. (1982). Exact sequences for locally free class groups. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061906

Download citation

  • DOI: https://doi.org/10.1007/BFb0061906

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11966-1

  • Online ISBN: 978-3-540-39556-0

  • eBook Packages: Springer Book Archive