Skip to main content

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

  • Conference paper
  • First Online:
Séminaire Bourbaki vol. 1973/74 Exposés 436–452

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

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

Access this chapter

Institutional subscriptions

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.

    Article  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.

    Article  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.

    Article  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

Publish with us

Policies and ethics