Keywords
- Exact Sequence
- Natural Projection
- Finite Order
- Noetherian Ring
- Grothendieck Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
[A] Almkvist, G.: “The Grothendieck ring of endomorphisms”, J. Algebra 28 (1974), 375–388.
[B1] Bass, H.: “Algebraic K-theory”, W. A. Benjamin, New York (1968).
[B2]-: “The Dirichlet unit theorem, induced characters and Whitehead groups of finite groups”, Topology 4 (1966), 391–410.
[B3] Bass, H.: “The Grothendieck group of the category of abelian group automorphisms of finite order”, Preprint, Columbia University (1979).
[Br] Brumer, A.: “The class group of all cyclotomic integers”
[CR] Curtis, C.—I. Reiner: “Representation theory of finite groups and associative algebras”, Interscience, New York (1962).
[D] Diederichsen, F.-E.: “Über die Ausreduktion ganzzahliger Gruppen-darstellungen bei arithmetischer Äquivalenz”, Abh. Math. Sem. Univ. Hamburg 13 (1940), 357–412.
[FS] Franks, J.—M. Shub: “The existence of Morse-Smale diffeomorphisms”, Topology (to appear).
[G1] Grayson, D.: “The K-theory of endomorphisms”, J. Algebra 48 (1977), 439–446.
[G2] Grayson, D.: “SK1 of an interesting principal ideal domain”, preprint, Columbia University.
[K-O] Kurshan, R. P.—A. M. Odlyzko: “Values of cyclotomic polynomials at roots of unity”, preprint, Bell Laboratories, Muray Hill, New Jersey (1980).
[L] Lenstra, H.: “Grothendieck groups of abelian group rings”, J. Pure and Applied Algebra (to appear)
[M] Milnor, J.: “Introduction to algebraic K-theory. I”, Annals of Math. Studies, Princeton Univ. Press (1971).
[Q] Quillen, D.: “Higher algebraic K-theory, I” Proc. Battelle Conf. Alg. K-theory, Springer Lecture Notes 341 (1973), 85–147.
[R1] Reiner, I.: “Topics in integral representation theory”, Springer LN 744 (1979), 1–143.
[R2] Reiner, I.: “On Diederichsen's formula for extensions of lattices”, preprint, Univ. of Illinois, Urbana, Illinois.
[SS] Shub, M.—D. Sullivan: “Homology theory and dynamical systems”, Topology 14 (1975), 109–132.
Editor information
Editors and Affiliations
Rights 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
