Polynomial Isomorphisms of Cayley Objects Over a Finite Field Metadata

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Title

  • Main Title Polynomial Isomorphisms of Cayley Objects Over a Finite Field

Creator

  • Author: Park, Hong Goo
    Creator Type: Personal

Contributor

  • Chair: Brand, Neal E.
    Contributor Type: Personal
    Contributor Info: Major Professor
  • Committee Member: Kallman, Robert R.
    Contributor Type: Personal
  • Committee Member: Kung, Joseph P. S.
    Contributor Type: Personal
  • Committee Member: Jacob, Roy Thomas
    Contributor Type: Personal

Publisher

  • Name: University of North Texas
    Place of Publication: Denton, Texas

Date

  • Creation: 1989-12

Language

  • English

Description

  • Content 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.
  • Physical Description: iv, 60 leaves

Subject

  • Keyword: Polynomials
  • Keyword: Cayley objects
  • Library of Congress Subject Headings: Isomorphisms (Mathematics)
  • Library of Congress Subject Headings: Finite fields (Algebra)
  • Library of Congress Subject Headings: Cayley algebras.
  • Library of Congress Subject Headings: Polynomials.

Collection

  • Name: UNT Theses and Dissertations
    Code: UNTETD

Institution

  • Name: UNT Libraries
    Code: UNT

Rights

  • Rights Access: public
  • Rights Holder: Park, Hong Goo
  • Rights License: copyright
  • Rights Statement: Copyright is held by the author, unless otherwise noted. All rights reserved.

Resource Type

  • Thesis or Dissertation

Format

  • Text

Identifier

  • Call Number: 379 N81d no.3123
  • Accession or Local Control No: 1002713534-Park
  • UNT Catalog No.: b1451794
  • Archival Resource Key: ark:/67531/metadc331144

Degree

  • Academic Department: Department of Mathematics
  • Degree Discipline: Math
  • Degree Level: Doctoral
  • Degree Name: Doctor of Philosophy
  • Degree Publication Type: disse
  • Degree Grantor: University of North Texas