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Polynomial Isomorphisms of Cayley Objects Over a Finite Field

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc331144
Date12 1900
CreatorsPark, Hong Goo
ContributorsBrand, Neal E., Kallman, Robert R., Kung, Joseph P. S., Jacob, Roy Thomas
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formativ, 60 leaves, Text
RightsPublic, Park, Hong Goo, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved.

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