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: 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 $g$.
ref1 E. Noether, Der Endlichkeitsatz der Invarianten endlicher Gruppen, Mathematische Annalen 77 (1916), 89.
- 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, DOI 10.1090/S0273-0979-97-00724-6
- T. Venkatarayudu, The $7$-$15$ problem, Proc. Indian Acad. Sci., Sect. A. 9 (1939), 531. MR 0000001, DOI 10.1090/gsm/058
ref1 E. Noether, Der Endlichkeitsatz der Invarianten endlicher Gruppen, Mathematische Annalen 77 (1916), 89.
ref2 L. Smith, Polynomial invariants of finite groups, Bull. Amer. Math. Soc. (N.S.) 34 (1997), 211–250.
ref3 H. Weyl, The classical groups, Princeton, 1939.
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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
Received by editor(s):
October 25, 1999
Published electronically:
March 16, 2001
Communicated by:
Efim Zelmanov
Article copyright:
© Copyright 2001
American Mathematical Society
