ON THE GALOIS GROUPS OF SEXTIC TRINOMIALS

被引：0

作者：

Brown, Stephen C. ^{[1
]}

Spearman, Blair K. ^{[1
]}

Yang, Qiduan ^{[1
]}

机构：

[1] Univ British Columbia Okanagan, Dept Math & Stat, Kelowna, BC V1V 1V7, Canada

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 18卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Galois group; sextic trinomial; genus two curve;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For nonzero rational numbers A and B, we characterize all sextic trinomials x(6) + Ax + B, irreducible over Q and having Galois group isomorphic to either A(4) the alternating group on four letters or A(4) x C-2, where C-2 is the cyclic group of order 2. These polynomials define sextic fields with a cyclic cubic subfield.

引用

页码：67 / 77

页数：11

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