A Note on Invariants Over Finite Local Rings

REFERENCES

• Campbell , H. E. A. , Hughes , I. P. , Pollack , R. D. ( 1991 ). Rings of invariants and p-Sylow subgroups . Canad. Math. Bull. 34 : 42 – 47 .
   Web of Science ®Google Scholar
• Dickson , L. E. ( 1911 ). A fundamental system of invariants of the general modular linear group with a solution of the form problem . Trans. Amer. Math. Soc. 12 : 75 – 98 .
   Google Scholar
• Derksen , H. , Kemper , G. ( 2002 ). Computational invariant theory. Encyclopaedia of Math. Sci. Vol. 130 . Berlin : Springer-Verlag .
   Google Scholar
• Feldstein , M. M. ( 1923 ). Invariants of the linear group modulo p k . Trans. Amer. Math. Soc. 25 : 223 – 238 .
   Google Scholar
• Fleischmann , P. ( 1998 ). A new degree bound for vector invaiants of symmetric groups . Trans. Amer. Math. Soc. 350 : 1703 – 1712 .
   Web of Science ®Google Scholar
• Fleischmann , P. ( 2000 ). The Noether bound in invariant theory . Adv. Math. 156 : 23 – 32 .
   Web of Science ®Google Scholar
• Fogarty , J. ( 2001 ). On Noether's bound for polynomial invariants of a finite group . Elec. Res. Ann. AMS 7 : 5 – 7 .
   Google Scholar
• Noether , E. ( 1915 ). Der Endlichkeitssatz der Invarianten endlicher Gruppen. (German) Math. Ann. 77 : 89 – 92 .
   Google Scholar
• Richman , D. R. ( 1996 ). Explicit generators of the invariants of finite groups . Adv. Math. 124 : 49 – 76 .
   Web of Science ®Google Scholar
• Steinberg , R. (1987). On Dickson's theorem on invariants. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34:699–707.
   Google Scholar
• Turner , J. S. ( 1922 ). A fundamental system of invariants of a modular group of transformations . Trans. Amer. Math. Soc. 24 : 129 – 134 .
   Google Scholar
• Wilkerson , C. ( 1983 ). A Primer on the Dickson Invariants. Proceedings of the Northwestern Homotopy Theory Conference (Evanston, III., 1982), Contemp. Math. Vol. 19, Amer. Math. Soc., Providence, RI, 1983, pp. 421–434 .
   Google Scholar
• Communicated by J. Zhang.
   Google Scholar