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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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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: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. 한국수학교육학회지시리즈B:순수및응용수학, 16(3), 283-296.

Abstract

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