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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
Posted:
March 16, 2001
MathSciNet review:
1826990
Full-text PDF Free Access
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Abstract: E. Noether's a priori bound, viz., the group order  , for the degrees of generating polynomial invariants of a finite group, is extended from characteristic 0 to characteristic prime to  .
- 1.
E. Noether, Der Endlichkeitsatz der Invarianten endlicher Gruppen, Mathematische Annalen 77 (1916), 89.
- 2.
Larry
Smith, Polynomial invariants of finite
groups. A survey of recent developments, Bull.
Amer. Math. Soc. (N.S.) 34 (1997), no. 3, 211–250. MR 1433171
(98i:13009), http://dx.doi.org/10.1090/S0273-0979-97-00724-6
- 3.
Hermann
Weyl, The Classical Groups. Their Invariants and
Representations, Princeton University Press, Princeton, N.J., 1939. MR 0000255
(1,42c)
- 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:
http://dx.doi.org/10.1090/S1079-6762-01-00088-9
PII:
S 1079-6762(01)00088-9
Received by editor(s):
October 25, 1999
Posted:
March 16, 2001
Communicated by:
Efim Zelmanov
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