ON THE GALOIS GROUP OF ITERATE POLYNOMIALS

被引：0

作者：

Choi, Eunmi ^{[1
]}

机构：

[1] Hannam Univ, Dept Math, Daejon 306791, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2009年 / 16卷 / 03期

关键词：

iterated polynomial; Galois group; wreath product group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：283 / 296

页数：14

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