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On Noether's bound for polynomial invariants of a finite group


Author: John Fogarty
Journal: Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 5-7
MSC (2000): Primary 13A50
DOI: https://doi.org/10.1090/S1079-6762-01-00088-9
Published electronically: March 16, 2001
MathSciNet review: 1826990
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Abstract | References | Similar Articles | Additional Information

Abstract:

E. Noether's a priori bound, viz., the group order $g$, for the degrees of generating polynomial invariants of a finite group, is extended from characteristic 0 to characteristic prime to $g$.


References [Enhancements On Off] (What's this?)

  • 1. E. Noether, Der Endlichkeitsatz der Invarianten endlicher Gruppen, Mathematische Annalen 77 (1916), 89.
  • 2. L. Smith, Polynomial invariants of finite groups, Bull. Amer. Math. Soc. (N.S.) 34 (1997), 211-250. MR 98i:13009
  • 3. H. Weyl, The classical groups, Princeton, 1939. MR 1:42c

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Additional Information

John Fogarty
Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515
Email: jfoga9786@aol.com

DOI: https://doi.org/10.1090/S1079-6762-01-00088-9
Received by editor(s): October 25, 1999
Published electronically: March 16, 2001
Communicated by: Efim Zelmanov

American Mathematical Society