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Properties of Bicentric Circles for Three-Sided Polygons

Description: We define and construct bicentric circles with respect to three-sided polygons. Then using inherent properties of these circles, we explore both tangent properties, and areas generated from bicentric circles.
Date: August 1998
Creator: Heinlein, David J. (David John)
Partner: UNT Libraries

Polynomial Isomorphisms of Cayley Objects Over a Finite Field

Description: In this dissertation the Bays-Lambossy theorem is generalized to GF(pn). The Bays-Lambossy theorem states that if two Cayley objects each based on GF(p) are isomorphic then they are isomorphic by a multiplier map. We use this characterization to show that under certain conditions two isomorphic Cayley objects over GF(pn) must be isomorphic by a function on GF(pn) of a particular type.
Date: December 1989
Creator: Park, Hong Goo
Partner: UNT Libraries