COMPUTING SUBFIELDS IN ALGEBRAIC NUMBER-FIELDS

被引：17

作者：

DIXON, JD

机构：

[1] Department of Mathematics and Statistics, Carleton University

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 49卷

关键词：

D O I：

10.1017/S1446788700032432

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K : = Q-(alpha) be an algebraic number field which is given by specifying the minimal polynomial f(X) for alpha over Q. We describe a procedure for finding the subfields L of K by constructing pairs (w(X), g(X)) of polynomials over Q such that L = Q(w(alpha)) and g(X) is the minimal polynomial for w(alpha). The construction uses local information obtained from the Frobenius-Chebotarev theorem about the Galois group Gal(f), and computations over p-adic extensions of Q.

引用

页码：434 / 448

页数：15

共 27 条

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