Shank, R.J. and Fleischmann, P. and Sezer, M. and Woodcock, C.F. (2006) The Noether numbers for cyclic groups of prime order. Advances in Mathematics, 207 (1). pp. 149-155. ISSN 0001-8708.
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| Official URL http://dx.doi.org/10.1016/j.aim.2005.11.009 |
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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 |
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| 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: | 05 Sep 2011 23:21 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/1008 (The current URI for this page, for reference purposes) |
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The Noether numbers for cyclic groups of prime order. (deposited 19 Dec 2007 19:32)
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