The Noether numbers for cyclic groups of prime order

Shank, R. James, Fleischmann, Peter, Sezer, Müfit, Woodcock, Chris F. (2006) The Noether numbers for cyclic groups of prime order. Advances in Mathematics, 207 (1). pp. 149-155. ISSN 0001-8708. (doi:10.1016/j.aim.2005.11.009) (KAR id:1008)

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Official URL: 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
DOI/Identification number:	10.1016/j.aim.2005.11.009
Uncontrolled keywords:	Invariant theory; Noether numbers; Degree bounds
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 18:40 UTC
Last Modified:	05 Nov 2024 09:31 UTC
Resource URI:	https://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)
- The Noether numbers for cyclic groups of prime order. (deposited 19 Dec 2007 18:40) [Currently Displayed]

University of Kent Author Information

Shank, R. James.

Creator's ORCID:	https://orcid.org/0000-0002-3317-4088
CReDIT Contributor Roles:

Fleischmann, Peter.

Creator's ORCID:
CReDIT Contributor Roles:

Woodcock, Chris F..

Creator's ORCID:	https://orcid.org/0000-0003-4713-0040
CReDIT Contributor Roles:

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