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A new degree bound for invariant rings
Author(s):
Jianjun
Chuai
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1325-1333.
MSC (2000):
Primary 13A50
Posted:
November 19, 2004
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Abstract:
In this paper we give a new degree bound for polynomial invariant rings of finite groups and give some applications.
References:
-
- 1.
- A. Broer, Remarks on invariant theory of finite groups, Preprint, Université de Montréal, Montréal, (1997).
- 2.
- H. E. A. Campbell, A. V. Geramita, I. P. Hughes, R. J. Shank and D. L. Wehlau, Non-Cohen-Macaulay vector invariants and a Noether bound for a Gorenstein ring of invariants, Canad. Math. Bull. 42(2)(1999), 155-161. MR 1692004 (2000b:13005)
- 3.
- H. E. A. Campbell and I. P. Hughes, Vector invariants of
: A proof of a conjecture of Richman, Adv. in Math. 126(1997), 1-20. MR 1440251 (98c:13007) - 4.
- Jianjun Chuai, Two-dimensional vector invariant rings of Abelian
-groups, J. of Alg. 266(1)(2003), 362-373. MR 1994545 (2004e:13010) - 5.
- H. Derksen and G. Kemper, Computational invariant theory, Springer, (2002). MR 1918599 (2003g:13004)
- 6.
- J. A. Eagon and M. Hochster, Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci, Amer. J. Math. 93(1971), 1020-1058. MR 0302643 (46:1787)
- 7.
- P. Fleischmann, On invariants theory of finite groups, Preprint, Invariant Theory Workshop at Queen's University, (2002).
- 8.
- P. Fleischmann, The Noether bound in invariant theory of finite groups, Adv. in Math. 156(2000), 23-32. MR 1800251 (2001k:13009)
- 9.
- J. Fogarty, On Noether's bound for polynomial invariants of a finite group, Elec. Res. Announ. of the Amer. Math. Soc. 7(2001), 5-7. MR 1826990 (2002a:13002)
- 10.
- M. Goebel, Computing bases for rings of permutation-invariant polynomials, J. Symb. Comp., 19 (1995), 285-291. MR 1339909 (96f:13006)
- 11.
- I. Hughes and G. Kemper, Symmetric powers of modular representations, Hilbert series and degree bounds, Comm. Alg., 28(4) (2000), 2059-2088. MR 1747371 (2001b:13009)
- 12.
- D. B. Karagueuzian and Peter Symonds, The module structure of a group action on a polynomial ring: the general case, Preprint, (2001).
- 13.
- E. Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math. Ann. 77(1916), 89-92.
- 14.
- D. R. Richman, On vector invariants over finite fields, Adv. in Math. 81(1990), 30-65. MR 1051222 (91g:15020)
- 15.
- L. Smith, Polynomial invariants of finite groups, A. K. Peter, Ltd. 1995. MR 1328644 (96f:13008)
- 16.
- R. P. Stanley, Polynomial invariants of finite groups and their applications to combinatorics, Bull. Amer. Math. Soc. 1(3) (1979), 475-511. MR 0526968 (81a:20015)
- 17.
- H. Weyl, The classical groups, Princeton University Press, Princeton, NJ, (1939). MR 0000255 (1:42c)
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Additional Information:
Jianjun
Chuai
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6
Email:
chuai@mast.queensu.ca
DOI:
10.1090/S0002-9939-04-07787-1
PII:
S 0002-9939(04)07787-1
Keywords:
Invariant ring,
degree bound
Received by editor(s):
September 23, 2003
Received by editor(s) in revised form:
January 30, 2004
Posted:
November 19, 2004
Additional Notes:
This research was partially supported by NSERC
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2004,
American Mathematical Society
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