The Noether numbers for cyclic groups of prime order

Shank, R. James and Fleischmann, Peter and Sezer, Müfit and Woodcock, Chris F. (2006) The Noether numbers for cyclic groups of prime order. Advances in Mathematics, 207 (1). pp. 149-155. ISSN 0001-8708. (Full text available)

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http://dx.doi.org/10.1016/j.aim.2005.11.009

Abstract

The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants. We compute the Noether number for an arbitrary representation of a cyclic group of prime order, and as a consequence prove the "2p−3 conjecture."

Item Type: Article
Uncontrolled keywords: Invariant theory; Noether numbers; Degree bounds
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Judith Broom
Date Deposited: 19 Dec 2007 18:40
Last Modified: 19 May 2014 13:27
Resource URI: http://kar.kent.ac.uk/id/eprint/1008 (The current URI for this page, for reference purposes)

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