학술저널
COMPOSITION OF POLYNOMIALS OVER A FIELD
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 3
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2009.09497 - 506 (10 pages)
- 0
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 su±cient conditions of f(x) and g(x) to be f(g(x)) is separable, solvable by radical or split completely. And we ¯nd relationship of Galois groups of f(g(x)), f(x) and of g(x).
1. Introduction
2. Separability and solvability of composition
3. Galois group of composite polynomials
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