Skip to main content

Fractions rationnelles invariantes [d'après H. W. Lenstra]

Part of the Lecture Notes in Mathematics book series (LNM,volume 431)

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. W. BURNSIDE-Theory of groups of finite order, Dover Publications, Inc. 1955.

    Google Scholar 

  2. C. CHEVALLEY-Invariants of finite groups generated by reflections, Amer. J. Math., 77 (1955), 778–782.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. E. FISCHER-Die Isomorphie der Invariantenkörper der endlichen Abelschen Gruppen linearer Transformationen, Nachr. Königl. Ges. Wiss., Göttingen (1915), 77–80.

    Google Scholar 

  4. W. GASCHÜTZ-Fixörper von p-Automorphismengruppen rein transzendenter Körpererweiterungen von p-Charakteristik, Math. Zeitschrift, 71 (1959), 466–468.

    CrossRef  MATH  Google Scholar 

  5. H. W. LENSTRA-Rational functions invariant under a finite abelian group, Notes polycopiées, Amsterdam (1972).

    Google Scholar 

  6. G. C. SHERPHARD-J. A. TODD-Finite unitary reflection groups, Can. J. Math., 6 (1954), 274–304.

    Google Scholar 

  7. R. G. SWAN-Invariant rational functions and a problem of Steenrod, Invest. Math., 7 (1969), 148–158.

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. V. E. VOSKRESENSKII-On the question of the structure of the subfield of invariants of a cyclic group of automorphisms of the field Q(x1, ..., xn), Izv. Akad. Nauk SSSR, Ser. Mat., 34 (1970), 366–375. [English translation: Math. USSSR — Izv., 4 (1970), 371–380.]

    MATH  MathSciNet  Google Scholar 

  9. J. MARTINET-Un contre-exemple à une conjecture d'E. Noether (d'après R. Swan), Sém. Bourbaki no 372, 10 p., Lecture Notes in Math. 180, Springer-Verlag 1971.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 N. Bourbaki

About this paper

Cite this paper

Kervaire, M. (1975). Fractions rationnelles invariantes [d'après H. W. Lenstra]. In: Séminaire Bourbaki vol. 1973/74 Exposés 436–452. Lecture Notes in Mathematics, vol 431. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0066370

Download citation

  • DOI: https://doi.org/10.1007/BFb0066370

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07023-8

  • Online ISBN: 978-3-540-37310-0

  • eBook Packages: Springer Book Archive