Invariant rational functions and a problem of Steenrod (original) (raw)

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References

  1. Bass, H.: Big projective modules are free. Ill. J. Math.7, 24–31 (1963).
    Google Scholar
  2. Cartan, H., and S. Eilenberg: Homological algebra. Princeton, 1956.
  3. Curtis, C. W., and I. Reiner: Representation theory of finite groups and associative algebras. New York: Interscience 1962.
    Google Scholar
  4. Hasse, H.: Zahlentheorie. Berlin: Akademie-Verlag 1963.
    Google Scholar
  5. Kaplansky, I.: Modules over Dedekind rings and valuation rings. Trans. Amer. Math. Soc.72, 327–340 (1952).
    Google Scholar
  6. Kuyk, W.: On a theorem of E. Noether. Nederl. Akad. Wetensch. Proc., Ser. A67, 32–39 (1964).
    Google Scholar
  7. Lang, S.: Diophantine geometry. New York: Interscience 1962.
    Google Scholar
  8. Masuda, K.: On a problem of Chevalley. Nagoya Math. J.8, 59–63 (1955).
    Google Scholar
  9. —: Application of the theory of the group of classes of projective modules to the existence problem of independent parameters of invariant. J. Math. Soc. Japan20, 223–232 (1968).
    Google Scholar
  10. Noether, E.: Gleichungen mit vorgeschriebener Gruppe. Math. Ann.78, 221–229 (1916).
    Google Scholar
  11. Rim, D. S.: modules over finite groups. Ann. of Math.69, 700–712 (1959).
    Google Scholar
  12. Roquette, P.: Einheiten und Divisorenklassen in endlich erzeugbaren Körpern. J. Deutsch. Math. Verein60, 1–27 (1958).
    Google Scholar
  13. Samuel, P.: Sur les anneaux factoriels. Bull. Soc. Math. France89, 155–173 (1961).
    Google Scholar
  14. Serre, J.-P.: Modules projectifs et espaces fibrés à fibre vectorielle. Sem. Dubreil, Paris 1958.
  15. Swan, R. G.: Induced representations and projective modules. Ann. of Math.71, 552–578 (1960).
    Google Scholar
  16. —: Periodic resolutions for finite groups. Ann. of Math.72, 267–291 (1960).
    Google Scholar
  17. —: The Grothendieck ring of a finite group. Topology2, 85–110 (1963).
    Google Scholar
  18. Zariski, O., and P. Samuel: Commutative algebra. Vol. I. Princeton: Van Nostrand 1958.
    Google Scholar

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  1. Department of Mathematics, The University of Chicago, 60637, Chicago, Ill., USA
    Richard G. Swan

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Swan, R.G. Invariant rational functions and a problem of Steenrod.Invent Math 7, 148–158 (1969). https://doi.org/10.1007/BF01389798

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