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) |

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