group of linear automorphisms of A . In this paper, we compute the multiplicative n β · Ε½ G . structure on the Hochschild cohomology HH A of the algebra of invariants of n β · Ε½ G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group al
On the branch locus of quotients by finite groups and the depth of the algebra of invariants
β Scribed by Nikolai Gordeev; Gregor Kemper
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 245 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Let A = B G , where B is a Noetherian algebra over a field K of characteristic p = 0 and G is a finite group such that p divides |G|. We give estimates for the depth of A in terms of the codimension of the branch locus of the extension B/A.
π SIMILAR VOLUMES
Albert algebra A for any field F of characteristic / 2, 3.
Let G be a semisimple simply connected algebraic group deΓΏned and split over the ΓΏeld Fp with p elements, G(Fq) be the ΓΏnite Chevalley group consisting of the Fq-rational points of G where q = p r , and Gr be the rth Frobenius kernel of G. This paper investigates relationships between the extension
It is a fairly longstanding conjecture that if G is any finite group with IG/ > 2 and if X is any set of generators of G then the Cayley graph T(G : X) should have a Hamiltonian cycle. We present experimental results found by computer calculation that support the conjecture. It turns out that in the