ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

Choi, Eun-Mi; Choi, Eun-Mi

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P-ISSN3059-0604
E-ISSN3059-1309
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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: Theoretical Mathematics and Pedagogical Mathematics / 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

Choi,, E. (2009). ON THE GALOIS GROUP OF ITERATE POLYNOMIALS, 16(3), 283-296.

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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

Reference

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Article Contents

Vol.16 No.3

ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics