Sharpening the generalized Noether bound in the invariant theory of finite groups

Journal of Algebra

Volumn 254, Issue 2, 2002, Pages 252-263

  Sezer, Müfit ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037104705     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00018-2     Document Type: Article

References (11)

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2. E. Noether, Der Endlichkeitssatz der invarianten endlicher Gruppen, Math. Ann. 77 (1916) 89-92; reprinted in: Collected Papers, Springer-Verlag, Berlin, 1983, pp. 181-184.
3. B.J. Schmid, Finite groups and invariant theory, in: Topics in Invariant Theory, Lecture Notes in Math., Vol. 1478, Springer-Verlag, Berlin, 1991, pp. 35-66.
4. M. Domokos, P. Hegedüs, Noether's bound for polynomial invariants for finite groups, Arch. Math. 74 (2000) 161-167.
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6. J. Fogarty, On Noether's bound for polynomial invariants of a finite group, Electron. Res. Announc. Amer. Math. Soc. 7 (2001) 5-7.
7. D. Richman, Invariants of finite groups over fields of characteristic p, Adv. Math. 124 (1996) 25-48.
8. L. Smith, On a theorem of Barbara Schmid, Proc. Amer. Math. Soc. 128 (2000) 2199-2201.
9. P. Fleischmann, W. Lempken, On degree bounds for invariant rings of finite groups over finite fields, Contemp. Math. 225 (1999) 33-41.
10. J.E. Olson, A combinatorial problem on finite abelian groups II, J. Number Theory 1 (1969) 195-199.
11. C. Curtis, I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Pure and Applied Math., Vol. XI, Wiley, New York, 1962.