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University of North Texas

1. Park, Hong Goo. Polynomial Isomorphisms of Cayley Objects Over a Finite Field.

Degree: 1989, University of North Texas

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. Advisors/Committee Members: Brand, Neal E., Kallman, Robert R., Kung, Joseph P. S., Jacob, Roy Thomas.

Subjects/Keywords: Polynomials; Cayley objects; Isomorphisms (Mathematics); Finite fields (Algebra); Cayley algebras.; Polynomials.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Park, H. G. (1989). Polynomial Isomorphisms of Cayley Objects Over a Finite Field. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc331144/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Park, Hong Goo. “Polynomial Isomorphisms of Cayley Objects Over a Finite Field.” 1989. Thesis, University of North Texas. Accessed October 27, 2020. https://digital.library.unt.edu/ark:/67531/metadc331144/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Park, Hong Goo. “Polynomial Isomorphisms of Cayley Objects Over a Finite Field.” 1989. Web. 27 Oct 2020.

Vancouver:

Park HG. Polynomial Isomorphisms of Cayley Objects Over a Finite Field. [Internet] [Thesis]. University of North Texas; 1989. [cited 2020 Oct 27]. Available from: https://digital.library.unt.edu/ark:/67531/metadc331144/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Park HG. Polynomial Isomorphisms of Cayley Objects Over a Finite Field. [Thesis]. University of North Texas; 1989. Available from: https://digital.library.unt.edu/ark:/67531/metadc331144/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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