Planar nearrings and block designs
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azu_td_9531109_sip1_m.pdf
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
It has been known that circles (or rays) can be defined in finite planar nearrings, as well as their relationship with two main topics of block designs: BIBD (balanced incomplete block design) and PBIBD (partially balanced incomplete block design). In this dissertation we explore the possibilities of defining (line) segments and lines in some finite planar nearrings, as well as their relationship with block designs. It turns out that there are more general methods for the constructions of block designs.Type
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
MathematicsGraduate College