dc.contributor.advisor Stepanov, S.A. en_US dc.contributor.author Madran, Uğur en_US dc.date.accessioned 2016-01-08T20:17:33Z dc.date.available 2016-01-08T20:17:33Z dc.date.issued 2000 dc.identifier.uri http://hdl.handle.net/11693/18238 dc.description Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent Univ., 2000. en_US dc.description Thesis (Master's) -- Bilkent University, 2000. en_US dc.description Includes bibliographical references leaves 25-26. en_US dc.description.abstract The purpose of this thesis is to obtain a lower degree bound in modular en_US 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. dc.description.statementofresponsibility Madran, Uğur en_US dc.format.extent viii, 26 leaves en_US dc.language.iso English en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject Modular invariant theory en_US dc.subject finite group en_US dc.subject finite field en_US dc.subject.lcc QA171 .M33 2000 en_US dc.subject.lcsh Modular representations of groups. en_US dc.subject.lcsh Finite groups. en_US dc.title On lower degree bounds for vector invariants over finite fields en_US dc.type Thesis en_US dc.department Department of Mathematics en_US dc.publisher Bilkent University en_US dc.description.degree M.S. en_US
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