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.
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页码：67 / 77
页数：11
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