호남수학학술지 (Honam Mathematical Journal)

  • 제39권2호
  • /
  • Pages.259-265
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  • 2017
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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CLASSIFICATION OF GALOIS POLYNOMIALS

  • LEE, KI-SUK (Department of Mathematics Education, Korea National University of Education) ;
  • LEE, JI-EUN (Department of Mathematics Education, Korea National University of Education)
  • 투고 : 2016.03.11
  • 심사 : 2017.04.21
  • 발행 : 2017.06.25
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초록

Galois polynomials are defined as a generalization of the Cyclotomic polynomials. Galois polynomials have integer coefficients as the cyclotomic polynomials. But they are not always irreducible. In this paper, Galois polynomials are partly classified according to the type of subgroups which defines the Galois polynomial.

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참고문헌

  1. M. Y. Kwon, J. E. Lee and K. S. Lee, Galois Irreducible Polynomials, Commun. Korean Math. Soc. 32(2017), No. 1.
  2. J. R. Bastida and R.Lyndon, Field Extensions and Galois Theory, Encyclopedia of Mathematics and Its Application, Addison-Wesley Publishing Company (1984).
  3. T. W. Hungerford, Abstract Algebra An Introduction, Brooks/Cole, Cengage Learning (2014).
  4. S. Lang, xAlgebra, Addison-Wesley Publising Company (1984).
  5. K. S. Lee, J. E. Lee and J. H. Kim semi-cyclotomic polynomials, Honam Mathematical J. 37(2017), No. 4.
  6. P. Ribenboim, Algebraic Numbers, John Wiley and Sons Inc (1972).
  7. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford: Oxford University Press(1980).