Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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COMPOSITION OF POLYNOMIALS OVER A FIELD

  • Choi, EunMi (Department of Mathematics Hannam University)
  • Received : 2009.06.03
  • Accepted : 2009.08.14
  • Published : 2009.09.30
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Abstract

This work studies about the composition polynomial f(g(x)) that preserves certain properties of f(x) and g(x). We shall investigate necessary and sufficient conditions of f(x) and g(x) to be f(g(x)) is separable, solvable by radical or split completely. And we find relationship of Galois groups of f(g(x)), f(x) and of g(x).

Keywords

References

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