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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorPieropan, M.
dc.contributor.authorMeer, Wout van der
dc.date.accessioned2024-07-16T15:01:45Z
dc.date.available2024-07-16T15:01:45Z
dc.date.issued2024
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/46719
dc.description.abstractLet G be a finite abelian group. Then the h-critical number is the smallest positive integer m such that each subset of G of size m is a basis of order h. In the thesis, we provide the h-critical number for every h and every G using several proofs. We also look at the possible sizes of the sumset hA, whenever a subset A of G is of size m-1, or a nonbasis of order h of maximum size. We give a complete answer for h=2 and h=3.
dc.description.sponsorshipUtrecht University
dc.language.isoEN
dc.subjectLet G be a finite abelian group. Then the h-critical number is the smallest positive integer m such that each subset of G of size m is a basis of order h. In the thesis, we provide the h-critical number for every h and every G using several proofs. We also look at the possible sizes of the sumset hA, whenever a subset A of G is of size m-1, or a nonbasis of order h of maximum size. We give a complete answer for h=2 and h=3.
dc.titleThe h-critical number and sumsets of nonbases of maximum size
dc.type.contentBachelor Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsAdditive combinatorics, h-critical number, sumsets of nonbases of maximum size.
dc.subject.courseuuWiskunde
dc.thesis.id33939


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