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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"cayley objects"" "subject:"bayley objects""

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Polynomial Isomorphisms of Cayley Objects Over a Finite Field

Park, Hong Goo 12 1900 (has links)
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.
Polynomials
Cayley objects
Isomorphisms (Mathematics)
Finite fields (Algebra)
Cayley algebras.
Polynomials.

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