Skip to main content

Lenstra's calculation of GO (R π), and applications to Morse-Smale diffeomorphisms

  • Part III
  • Conference paper
  • First Online:
Integral Representations and Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 882))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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

  • [A] Almkvist, G.: “The Grothendieck ring of endomorphisms”, J. Algebra 28 (1974), 375–388.

    Article  MathSciNet  MATH  Google Scholar 

  • [B1] Bass, H.: “Algebraic K-theory”, W. A. Benjamin, New York (1968).

    MATH  Google Scholar 

  • [B2]-: “The Dirichlet unit theorem, induced characters and Whitehead groups of finite groups”, Topology 4 (1966), 391–410.

    Article  MathSciNet  MATH  Google Scholar 

  • [B3] Bass, H.: “The Grothendieck group of the category of abelian group automorphisms of finite order”, Preprint, Columbia University (1979).

    Google Scholar 

  • [Br] Brumer, A.: “The class group of all cyclotomic integers”

    Google Scholar 

  • [CR] Curtis, C.—I. Reiner: “Representation theory of finite groups and associative algebras”, Interscience, New York (1962).

    MATH  Google Scholar 

  • [D] Diederichsen, F.-E.: “Über die Ausreduktion ganzzahliger Gruppen-darstellungen bei arithmetischer Äquivalenz”, Abh. Math. Sem. Univ. Hamburg 13 (1940), 357–412.

    Article  MATH  Google Scholar 

  • [FS] Franks, J.—M. Shub: “The existence of Morse-Smale diffeomorphisms”, Topology (to appear).

    Google Scholar 

  • [G1] Grayson, D.: “The K-theory of endomorphisms”, J. Algebra 48 (1977), 439–446.

    Article  MathSciNet  MATH  Google Scholar 

  • [G2] Grayson, D.: “SK1 of an interesting principal ideal domain”, preprint, Columbia University.

    Google Scholar 

  • [K-O] Kurshan, R. P.—A. M. Odlyzko: “Values of cyclotomic polynomials at roots of unity”, preprint, Bell Laboratories, Muray Hill, New Jersey (1980).

    MATH  Google Scholar 

  • [L] Lenstra, H.: “Grothendieck groups of abelian group rings”, J. Pure and Applied Algebra (to appear)

    Google Scholar 

  • [M] Milnor, J.: “Introduction to algebraic K-theory. I”, Annals of Math. Studies, Princeton Univ. Press (1971).

    Google Scholar 

  • [Q] Quillen, D.: “Higher algebraic K-theory, I” Proc. Battelle Conf. Alg. K-theory, Springer Lecture Notes 341 (1973), 85–147.

    MathSciNet  MATH  Google Scholar 

  • [R1] Reiner, I.: “Topics in integral representation theory”, Springer LN 744 (1979), 1–143.

    MathSciNet  Google Scholar 

  • [R2] Reiner, I.: “On Diederichsen's formula for extensions of lattices”, preprint, Univ. of Illinois, Urbana, Illinois.

    Google Scholar 

  • [SS] Shub, M.—D. Sullivan: “Homology theory and dynamical systems”, Topology 14 (1975), 109–132.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Klaus W. Roggenkamp

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Bass, H. (1981). Lenstra's calculation of GO (R π), and applications to Morse-Smale diffeomorphisms. In: Roggenkamp, K.W. (eds) Integral Representations and Applications. Lecture Notes in Mathematics, vol 882. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092501

Download citation

  • DOI: https://doi.org/10.1007/BFb0092501

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10880-1

  • Online ISBN: 978-3-540-38789-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics