Please use this identifier to cite or link to this item: `https://scholarbank.nus.edu.sg/handle/10635/13169`
DC FieldValue
dc.titlePolynomial addition sets of degree 3
dc.contributor.authorZHAN YANXIN
dc.date.accessioned2010-04-08T10:30:37Z
dc.date.available2010-04-08T10:30:37Z
dc.date.issued2008-05-02
dc.identifier.citationZHAN YANXIN (2008-05-02). Polynomial addition sets of degree 3. ScholarBank@NUS Repository.
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/13169
dc.description.abstractLet G be a finite group of order v > 1. Let f(x) be an integral polynomial. A subsetD of G with k elements is a (v, k, f(x))-polynomial addition set if f(D) =N; Gwhere D is in Z[G] and is the sum of the elements d in G, G is in Z[G] and is the sum of elements g in G and N; is an integer. We call an integralpolynomial primitive if the gcd of its coefficients is equal to 1.In general, there exists many polynomials that satisfy the above condition.Among these polynomials, we fix a primitive one with least degree. We call thispolynomial the minimal polynomial of D and its degree is called the degree ofD. Characterization of degree 3 polynomial addition sets in cyclic groups G has not been done before and will be the main focus in this thesis.
dc.language.isoen
dc.typeThesis
dc.contributor.departmentMATHEMATICS
dc.contributor.supervisorMA SIU LUN, LEO
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF SCIENCE
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Master's Theses (Open)

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