한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제16권3호
  • /
  • Pages.283-296
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  • 2009
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

  • 발행 : 2009.08.31
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초록

Let f(x) = $x^n\;+\;a$ be a binomial polynomial in Z[x] and $f_m(x)$ be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of $f_m(x)$ is isomorphic to a wreath product group $[C_n]^m$ where $C_n$ is a cyclic group of order n.

키워드

참고문헌

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