dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Pieropan, M. | |
dc.contributor.author | Meer, Wout van der | |
dc.date.accessioned | 2024-07-16T15:01:45Z | |
dc.date.available | 2024-07-16T15:01:45Z | |
dc.date.issued | 2024 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/46719 | |
dc.description.abstract | Let 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.sponsorship | Utrecht University | |
dc.language.iso | EN | |
dc.subject | Let 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.title | The h-critical number and sumsets of nonbases of maximum size | |
dc.type.content | Bachelor Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | Additive combinatorics, h-critical number, sumsets of nonbases of maximum size. | |
dc.subject.courseuu | Wiskunde | |
dc.thesis.id | 33939 | |