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ISSN : 1226-0657

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Vol.16 No.3
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ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Choi,, E. (2009). ON THE GALOIS GROUP OF ITERATE POLYNOMIALS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(3), 283-296.
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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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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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