Committee ChairClay, James R.
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PublisherThe University of Arizona.
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AbstractIt 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.