Monogenesis of the rings of integers in certain imaginary abelian fields

被引：6

作者：

Shah, SIA

Nakahara, T

机构：

[1] Saga Univ, Grad Sch, Course Sci & Engn, Dept Engn Syst & Technol, Saga 8408502, Japan

[2] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2002年 / 168卷

关键词：

D O I：

10.1017/S0027763000008369

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a subfield K in a cyclotomic field k(m), of conductor m such that [k(m) : K] = 2 in the cases of m = lp(n) with a prime p, where l = 4 or p > l = 3. Then the theme is to know whether the ring of integers in K has a power basis or does not.

引用

页码：85 / 92

页数：8

共 11 条

[1]

DUMMIT DS, 1977, INDICES CYCLIC CUBIC, P29

[2] Computing all power integral bases in orders of totally real cyclic sextic number fields [J].