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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.16 No.3

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ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.3, pp.283-296
Choi, Eun-Mi (DEPARTMENT OF MATHEMATICS, HANNAM UNIVERSITY)
Choi, Eun-Mi. (2009). ON THE GALOIS GROUP OF ITERATE POLYNOMIALS, 16(3), 283-296.

Abstract

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.

keywords
iterated polynomial, Galois group, wreath product group

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한국수학교육학회지시리즈B:순수및응용수학

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