Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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GALOIS POLYNOMIALS

  • Lee, Ji-Eun (Department of Mathematics Education, Korea National University of Education) ;
  • Lee, Ki-Suk (Department of Mathematics Education, Korea National University of Education)
  • Received : 2019.02.14
  • Accepted : 2019.03.15
  • Published : 2019.05.15
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Abstract

We associate a positive integer n and a subgroup H of the group G(n) with a polynomial $J_{n,H}(x)$, which is called the Galois polynomial. It turns out that $J_{n,H}(x)$ is a polynomial with integer coefficients for any n and H. In this paper, we provide an equivalent condition for a subgroup H to provide the Galois polynomial which is irreducible over ${\mathbb{Q}}$.

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References

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