REFERENCES
- DeMeyer , F. R. ( 1983 ). Generic polynomials . J. Algebra 84 : 441 – 448 .
- DeMeyer , F. R. , McKenzie , T. ( 2003 ). On generic polynomials . J. Algebra 261 : 327 – 333 .
- Dixon , J. D. , Mortimer , B. ( 1996 ). Permutation Groups . Graduate Texts in Mathematics , Vol. 163 . New York : Springer-Verlag .
- Hajja , M. ( 1985 ). A note on a result of Kuniyoshi . J. Algebra 92 : 171 – 175 .
- Hajja , M. , Kang , M. ( 1995 ). Some actions of symmetric groups . J. Algebra 177 : 511 – 535 .
- Hoshi , A. , Kang , M. ( 2010 ). Twisted symmetric group actions . Pacific J. Math. 248 ( 2 ): 285 – 304 .
- Hu , S. , Kang , M. ( 2010 ). Noether's problem for some p-groups . In: Bogomolov , F. , Tschinkel , Y. , eds. Cohomological and Geometric Approaches to Rationality Problems . Progress in Math. , Vol. 282 . Boston : Birkhäuser .
- Kemper , G. , Mattig , E. ( 2000 ). Generic Polynomials with Few Parameters . J. Symbolic Computation 30 : 843 – 857 .
- Kang , M. , Wang , B. Rational invariants for subgroups of S 5 and S 7, arXiv;1308.0423.
- Kuniyoshi , H. ( 1954 ). On purely-transcendency of a certain field . Tôhoku Math. J. 6 : 101 – 108 .
- Kuyk , W. ( 1960 ). Ph.D. dissertation, U. Amsterdam .
- Kuyk , W. ( 1964 ). On a theorem of E. Noether . Nederl. Akad. Wetensch. Proc. Ser. A 67 : 32 – 39 .
- Lenstra , H. W. Jr. ( 1974 ). Rational functions invariant under a finite abelian group . Invent. Math. 25 : 299 – 325 .
- Maeda , T. ( 1989 ). Noether's problem for A 5 . J. Algebra 125 : 418 – 430 .
- Masuda , K. ( 1955 ). On a problem of Chevalley . Nagoya Math. J. 8 : 59 – 63 .
- Noether , E. ( 1913 ). Rationale functionenkörper . Jahresber DMV 22 : 316 – 319 .
- Noether , E. ( 1918 ). Gleichungen mit vorgeschriebener Gruppe . Math. Ann. 78 : 221 – 229 .
- Saltman , D. J. ( 1982 ). Generic Galois extentions and problems in field theory . Advances in Math. 43 : 250 – 283 .
- Saltman , D. J. ( 1984 ). Noether's problem over an algebraically closed field . Invent. Math. 77 : 71 – 84 .
- Swan , R. G. ( 1983 ). Noether's problem in Galois theory . In: Srinivasan , B. , Sally , J. , eds. Emmy Noether in Bryn Mawr . Berlin : Springer-Verlag , pp. 21 – 40 .
- Communicated by J. Zhang.