Polynomial Isomorphisms of Cayley Objects Over a Finite Field

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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.

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iv, 60 leaves

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Park, Hong Goo December 1989.

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This dissertation is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 43 times . More information about this dissertation can be viewed below.

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  • Park, Hong Goo

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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.

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iv, 60 leaves

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UNT Theses and Dissertations

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  • December 1989

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  • Aug. 22, 2014, 6 p.m.

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  • Oct. 24, 2014, 10:10 a.m.

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Citations, Rights, Re-Use

Park, Hong Goo. Polynomial Isomorphisms of Cayley Objects Over a Finite Field, dissertation, December 1989; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc331144/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .