Unramified 3-extensions over cyclic cubic fields

被引：2

作者：

Nomura, Akito ^{[1
]}

机构：

[1] Kanazawa Univ, Dept Math, Kanazawa, Ishikawa 9201192, Japan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2007年 / 230卷 / 01期

关键词：

cyclic field; cubic field; unramified extension; 3-extension; class number;

D O I：

10.2140/pjm.2007.230.167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of unramified 3-extensions over cyclic cubic fields. As an application, we study the class number relation between certain cubic fields.

引用

页码：167 / 183

页数：17

共 50 条

[31] Cyclic cubic extensions of Q
Majumdar, Dipramit
Sury, B.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (09) : 1929 - 1955
[32] TORSION OF ELLIPTIC CURVES OVER CYCLIC CUBIC FIELDS
Derickx, Maarten
Najman, Filip
MATHEMATICS OF COMPUTATION, 2019, 88 (319) : 2443 - 2459
[33] The Fermat cubic and quartic curves over cyclic fields
Bremner, Andrew
Choudhry, Ajai
PERIODICA MATHEMATICA HUNGARICA, 2020, 80 (02) : 147 - 157
[34] The Fermat cubic and quartic curves over cyclic fields
Andrew Bremner
Ajai Choudhry
Periodica Mathematica Hungarica, 2020, 80 : 147 - 157
[35] On power integral bases of unramified cyclic extensions of prime degree
Ichimura, H
JOURNAL OF ALGEBRA, 2001, 235 (01) : 104 - 112
[36] A note on integral bases of unramified cyclic extensions of prime degree
Humio Ichimura
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2000, 70 : 275 - 279
[37] Cubic fields and radical extensions
Kang, MC
AMERICAN MATHEMATICAL MONTHLY, 2000, 107 (03): : 254 - 256
[38] Galois module structure in weakly ramified 3-extensions
Vinatier, SP
ACTA ARITHMETICA, 2005, 119 (02) : 171 - 186
[39] On dynamics of power series over unramified extensions of Qp
Li, HC
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2002, 545 : 183 - 200
[40] A note on integral bases of unramified cyclic extensions of prime degree
Ichimura, H
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2000, 70 (1): : 275 - 279

← 1 2 3 4 5 →