Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(1): 1-6

Online first article January 11, 2017      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c160003

Copyright © The Korean Mathematical Society.

Galois irreducible polynomials

Miyeon Kwon, Ji-Eun Lee, and Ki-Suk Lee

University of Wisconsin-Platteville, Korea National University of Education, Korea National University of Education

Abstract

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In this paper, the fundamental theorem of Galois Theory is used to generalize cyclotomic polynomials and construct irreducible polynomials associated with the $n$-th primitive roots of unity.

Keywords: $n$-th cyclotomic polynomial, Galois irreducible polynomial, semi-cyclotomic polynomial

MSC numbers: Primary 12D05, 12E05, 12F05, 12F10

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