A note on the Hilbert ideals of a cyclic group of prime order

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dc.citation.epage376en_US
dc.citation.issueNumber1en_US
dc.citation.spage372en_US
dc.citation.volumeNumber318en_US
dc.contributor.authorSezer, M.en_US
dc.date.accessioned2016-02-08T10:11:26Z
dc.date.available2016-02-08T10:11:26Z
dc.date.issued2007en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThe Hilbert ideal is the ideal generated by positive degree invariant polynomials of a finite group. For a cyclic group of prime order p, we show that the image of the transfer lie in the ideal generated by invariants of degree at most p - 1. Consequently we show that the Hilbert ideal corresponding to an indecomposable representation is generated by polynomials of degree at most p, confirming a conjecture of Harm Derksen and Gregor Kemper for this case. © 2007 Elsevier Inc. All rights reserved.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:11:26Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1016/j.jalgebra.2007.08.022en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/23285
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2007.08.022en_US
dc.source.titleJournal of Algebraen_US
dc.subjectDegree boundsen_US
dc.subjectHilbert idealsen_US
dc.subjectInvariant theoryen_US
dc.titleA note on the Hilbert ideals of a cyclic group of prime orderen_US
dc.typeArticleen_US

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