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ISSN 1079-6762

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

Author(s): John Fogarty
Journal: Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 5-7.
MSC (2000): Primary 13A50
Posted: 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 , for the degrees of generating polynomial invariants of a finite group, is extended from characteristic 0 to characteristic prime to .

References:

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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