ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

Choi, Eun-Mi; Choi, Eun-Mi

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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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

Reference

(1985). . Proc. London Math. Soc., 51, 385-414.

(1994). . Ulam Quart., 2(3), 1-39.

(1988). . Mathematika, 35, 101-113.

(2001). . Proc. Amer. Math. Soc., 130, 1589-1596.

(1989). . Mathematika, 36, 259-261.

(1992). . Arch. Math., 59, 239-244.

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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: The Pure and Applied Mathematics