Degree of reductivity of a modular representation

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dc.citation.epage1650023-12en_US
dc.citation.issueNumber3en_US
dc.citation.spage1650023-1en_US
dc.citation.volumeNumber19en_US
dc.contributor.authorKohls, M.en_US
dc.contributor.authorSezer, M.en_US
dc.date.accessioned2018-04-12T11:01:52Z
dc.date.available2018-04-12T11:01:52Z
dc.date.issued2017en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractFor a finite-dimensional representation V of a group G over a field F, the degree of reductivity δ(G,V) is the smallest degree d such that every nonzero fixed point υ ∈ VG/{0} can be separated from zero by a homogeneous invariant of degree at most d. We compute δ(G,V) explicitly for several classes of modular groups and representations. We also demonstrate that the maximal size of a cyclic subgroup is a sharp lower bound for this number in the case of modular abelian p-groups. © 2017 World Scientific Publishing Company.en_US
dc.identifier.doi10.1142/S0219199716500231en_US
dc.identifier.eissn1793-6683
dc.identifier.issn0219-1997
dc.identifier.urihttp://hdl.handle.net/11693/37070
dc.language.isoEnglishen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1142/S0219199716500231en_US
dc.source.titleCommunications in Contemporary Mathematicsen_US
dc.subjectDegree boundsen_US
dc.subjectInvariant theoryen_US
dc.subjectKlein four groupen_US
dc.subjectModular groupsen_US
dc.subjectReductive groupsen_US
dc.subjectSeparating invariantsen_US
dc.subject13A50en_US
dc.titleDegree of reductivity of a modular representationen_US
dc.typeArticleen_US
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