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.
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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.
|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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