Note on the ring of integers of a Kummer extension of prime degree. II

被引：3

作者：

Ichimura, H ^{[1
]}

机构：

[1] Yokohama City Univ, Dept Math, Fac Sci, Kanazawa Ku, Kanagawa 2360027, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2001年 / 77卷 / 02期

关键词：

normal integral basis; tame extension; Kummer extension of prime degree;

D O I：

10.3792/pjaa.77.25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime number, and a (is an element of Q(X)) a rational number. Then, F. Kawamoto proved that the cyclic extension Q(zeta (p) a(1/p))/Q(zeta (p)) has a normal integral basis if it is at most tamely ramified. We give some generalized version of this result replacing the base field Q with some real abelian fields of prime power conductor.

引用

页码：25 / 28

页数：4

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