Gröbner bases for the Hilbert ideal and coinvariants of the dihedral group D2p

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dc.citation.epage1980en_US
dc.citation.issueNumber16en_US
dc.citation.spage1974en_US
dc.citation.volumeNumber285en_US
dc.contributor.authorKohls, M.en_US
dc.contributor.authorSezer, M.en_US
dc.date.accessioned2015-07-28T12:04:44Z
dc.date.available2015-07-28T12:04:44Z
dc.date.issued2012-11en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe consider a finite dimensional representation of the dihedral group D2p over a field of characteristic two where p is an odd integer and study the corresponding Hilbert ideal IH . We show that IH has a universal Grobner basis consisting of invariants and monomials only. We provide sharp bounds for the degree of an ¨ element in this basis and in a minimal generating set for IH . We also compute the top degree of coinvariants when p is prime.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:04:44Z (GMT). No. of bitstreams: 1 10.1002-mana.201100316.pdf: 135366 bytes, checksum: 7fbcff418b328bdf8e94b7a2eadad066 (MD5)en
dc.identifier.doi10.1002/mana.201100316en_US
dc.identifier.eissn1522-2616
dc.identifier.issn0025-584X
dc.identifier.urihttp://hdl.handle.net/11693/13143
dc.language.isoEnglishen_US
dc.publisherWileyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/mana.201100316en_US
dc.source.titleMathematische Nachrichtenen_US
dc.subjectDihedral Groupsen_US
dc.subjectCoinvariantsen_US
dc.subjectHilbert Idealen_US
dc.subjectUniversal Gröbner basesen_US
dc.titleGröbner bases for the Hilbert ideal and coinvariants of the dihedral group D2pen_US
dc.typeArticleen_US

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