The relative trace ideal and the depth of modular rings of invariants
โ Scribed by P. Fleischmann, R. J. Shank
- Book ID
- 118777459
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 94 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
Let G be a finite group acting linearly on a vector space V over a field K of positive characteristic p and let P โค G be a Sylow p-subgroup. Ellingsrud and Skjelbred [Compositio Math. 41 (1980), 233-244] proved the lower bound for the depth of the invariant ring, with equality if G is a cyclic p-gr
If V is a faithful module for a finite group G over a field of characteristic p, then the ring of invariants need not be CohenแMacaulay if p divides the order of G. In this article the cohomology of G is used to study the question of CohenแMacaulayness of the invariant ring. One of the results is a
Let (A; m) be a local noetherian ring with inรฟnite residue รฟeld and I an ideal of A. Consider RA(I ) and GA(I ), respectively, the Rees algebra and the associated graded ring of I , and denote by l(I ) the analytic spread of I . Burch's inequality says that l(I )+inf {depth A=I n ; n โฅ 1} โค dim(A),