Article PDF
Avoid common mistakes on your manuscript.
References
Amitsur, S.A.: Generic splitting fields of central simple algebras. Ann. Math.62, 8–43 (1955)
Amitsur, S.A., Saltman, D.J.: Generic abelian crossed products andp algebras. J. of Alg.51, 76–87 (1978)
Artin, M., Mumford, D.: Some elementary examples of unirational varieties which are not rational. Proc. London Math. Soc.25, 3rd series, 75–95 (1972)
Chang, C.: The Brauer group of an Amitsur field II. Proc. AMS47 (no. 1), 22–24 (1975)
Demeyer, F., Ingraham, E.: Separable algebras over commutative rings. Lecture Notes of Mathematics, vol. 181. Berlin-Heidelberg-New York: Springer 1971
Fischer, E.: Die Isomorphie der Invarianten Körper der endlichen Abel'schen Gruppen linearen Transformationen. Gott. Nachr. pp. 77–80 (1915)
Hoobler, R.: A cohomological interpretation of the Brauer group of rings. Pac. J. Math.86 (#1), 89–92 (1980)
Noether, E.: Gleichungen mit vorgeschriebener Gruppe. Math. Ann.78, 221–229 (1916)
Roquette, P.: On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras. Math. Ann.150, 411–439 (1963)
Roquette, P.: Isomorphisms of generic splitting fields of simple algebras. J. reine angew. Math.214/215, 207–226 (1964)
Saltman, D.: Retract rational fields and cyclic Galois extension. Israel J. Math. in press (1984)
Saltman, D.: Brauer groups and the center of generic matrices. J. of Algebra in press (1984)
Swan, R.: Invariant rational functions and a problem of Steenrod. Invent. Math.7, 148–158 (1969)
Author information
Authors and Affiliations
Additional information
The author is grateful for support from the Sloan Foundation and from the NSF grant #MCS-8303356
Rights and permissions
About this article
Cite this article
Saltman, D.J. Noether's problem over an algebraically closed field. Invent Math 77, 71–84 (1984). https://doi.org/10.1007/BF01389135
Issue Date:
DOI: https://doi.org/10.1007/BF01389135