Shank, R. James and 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.
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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: | 30 May 2014 09:46 |

Resource URI: | http://kar.kent.ac.uk/id/eprint/516 (The current URI for this page, for reference purposes) |

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