Noether numbers for subrepresentations of cyclic groups of prime order

Shank, RJ and Wehlau, DL (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. (The full text of this publication is not available from this repository)

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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
Uncontrolled keywords: Rings; Bases; Invariants
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Judith Broom
Date Deposited: 19 Dec 2007 18:18
Last Modified: 14 Jan 2010 13:58
Resource URI: http://kar.kent.ac.uk/id/eprint/516 (The current URI for this page, for reference purposes)
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