Galois Groups of Polynomials and the Construction of Finite Fields
S. M. Tudunkaya,
A. I. Kiri
Issue:
Volume 1, Issue 1, December 2012
Pages:
10-16
Published:
30 December 2012
Abstract: In this note an attempt was made in constructing finite fields with the aid of Galois groups of polynomials of small degree. The properties of these polynomials, their base fields and their splitting fields werediscussed. From these properties corollaries were developed upon which the constructions were done. The aim was to provide concrete and physical explanations on some aspects of finite fields and Galois theory.
Abstract: In this note an attempt was made in constructing finite fields with the aid of Galois groups of polynomials of small degree. The properties of these polynomials, their base fields and their splitting fields werediscussed. From these properties corollaries were developed upon which the constructions were done. The aim was to provide concrete and phy...
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