220
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Noether Settings of Some Groups with an Unexpected Property

Pages 4552-4566 | Received 01 Dec 2010, Published online: 14 Dec 2011

REFERENCES

  • Beneish , E. ( 2003 ). Stable rationality of certain invariant fields . J. Algebra 269 : 373 – 380 .
  • Beneish , E. ( 2002 ). Noether settings for central extensions of groups with zero Schur multiplier . J. Algebra and Its Applications 1 : 107 – 112 .
  • Beneisch , E. ( 2003 ). The center of the generic division ring and twisted multiplicative group actions . J. Algebra 259 : 313 – 322 .
  • Beneisch , E. ( 2003 ). Monomial actions of the symmetric group . J. Algebra 265 : 405 – 419 .
  • Bogomolov , F. A. ( 1998 ). The Brauer group of quotient spaces by linear group actions . Math. USSR Izvestiya 30 : 485 – 516 .
  • Brown , K. ( 1982 ). Cohomology of Groups . New York : Springer-Verlag .
  • Curtis , C. , Reiner , I. ( 1982 ). Methods of Representation Theory . Vol. 1 . New York : Springer-Verlag .
  • Colliot-Thelene , J. L. , Sansuc , J. P. ( 1977 ). La R-equivalence sur les Tores . Ann. Sci. Ecole Normale Superieure ( 4 ) 10 : 175 – 230 .
  • Endo , S. , Miyata , T. ( 1976 ). On the projective class group of finite groups . Osaka J. Math. 13 : 109 – 722 .
  • Fischer , E. ( 1915 ). Die Isomorphie der Invariantenkorper der endlichen Abel'schen Gruppen linearen Transformationen . Nachr. Konigl. Ges. Wiss. Gottingen 77 – 80 .
  • Hajja , M. ( 1983 ). Rational invariants of meta-abelian groups of linear automorphisms . J. Algebra 80 : 295 – 305 .
  • Lebruyn , L. ( 1991 ). Centers of generic division algebras, the rationality problem 1965–1990 . Israel J. Math. 76 : 97 – 111 .
  • Lenstra , H. W. ( 1974 ). Rational functions invariant under a finite abelian group . Inventiones Mathematicae 25 : 299 – 325 .
  • Montgomery , H. L. , Vaughan , R. C. ( 2007 ). Multiplicative Number Theory I: Classical Theory . Cambridge Studies in Advanced Mathematics 97 . Cambridge University Press .
  • Saltman , D. ( 1984 ). Noether's problem over an algebraically closed field . Inventiones Mathematicae 77 : 148 – 158 .
  • Saltman , D. ( 1999 ). Lectures on Division Algebras. CBMS Regional Conference Series in Mathematics, 94 .
  • Swan , R. ( 1969 ). Invariant rational functions and a problem of Steenrod . Inventiones Mathematicae 7 : 148 – 158 .
  • Voskresenskii , V. E. ( 1971 ). Rationality of certain algebraic tori . Math. USSR Izvestiya 5 : 1049 – 1056 .
  • Communicated by L. Rowen. Dedicated to Miriam Cohen.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.