Shank, R. James, Wehlau, David L. (2002) Noether numbers for subrepresentations of cyclic groups of prime order. Bulletin of the London Mathematical Society, 34 (Part 4). pp. 438-450. ISSN 0024-6093. (doi:10.1112/S0024609302001054) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:516)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1112/S0024609302001054 |
Abstract
Let W be a finite-dimensional Z/p-module over a field, k, of
characteristic p. The maximum degree of an indecomposable element of
the algebra of invariants, k[W](Z/P), is called the Noether number of
the representation, and is denoted by beta(W). A lower bound for
beta(W) is derived, and it is shown that if U is a Z/p submodule of W,
then beta(U) less than or equal to beta(W). A set of generators, in
fact a SAGBI basis, is constructed for k[V2 circle plus V-3](Z/P),
where V-n is the indecomposable Z/p-module of dimension n.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1112/S0024609302001054 |
| Uncontrolled keywords: | Rings; Bases; Invariants |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 19 Dec 2007 18:18 UTC |
| Last Modified: | 16 Nov 2021 09:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/516 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Shank, R. James.
| Creator's ORCID: |
 https://orcid.org/0000-0002-3317-4088
|
|---|---|
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