On lower degree bounds for vector invariants over finite fields

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buir.advisorStepanov, S.A.
dc.contributor.authorMadran, Uğur
dc.date.accessioned2016-01-08T20:17:33Z
dc.date.available2016-01-08T20:17:33Z
dc.date.issued2000
dc.departmentDepartment of Mathematicsen_US
dc.descriptionAnkara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent Univ., 2000.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2000.en_US
dc.descriptionIncludes bibliographical references leaves 25-26.en_US
dc.description.abstractThe purpose of this thesis is to obtain a lower degree bound in modular invariant theory for a special case. More precisely, let G be any group and k be a finite field of positive characteristic p such that p divides |G| . We prove that if an invariant which has degree at most p —1 with respect to each variable can be written as a polynomial in orbit sums of monomials, then the invariant ring of m copies of the vector space V over k with dimV = n requires a generator of degree ^ ^ ^ provided that m > n where t and rii depends on the representation of G such that |'^'| < t < n + l and 2 < ni < p.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityMadran, Uğuren_US
dc.format.extentviii, 26 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/18238
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModular invariant theoryen_US
dc.subjectfinite groupen_US
dc.subjectfinite fielden_US
dc.subject.lccQA171 .M33 2000en_US
dc.subject.lcshModular representations of groups.en_US
dc.subject.lcshFinite groups.en_US
dc.titleOn lower degree bounds for vector invariants over finite fieldsen_US
dc.typeThesisen_US

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