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

[41] ON UNRAMIFIED GALOIS EXTENSIONS OF REAL QUADRATIC NUMBER-FIELDS
YAMAMURA, K
OSAKA JOURNAL OF MATHEMATICS, 1986, 23 (02) : 471 - 478
[42] ON UNRAMIFIED GALOIS 2-GROUPS OVER Z2-EXTENSIONS OF REAL QUADRATIC FIELDS
Mizusawa, Yasushi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3095 - 3103
[43] ON THE GALOIS COHOMOLOGY OF UNRAMIFIED EXTENSIONS OF FUNCTION FIELDS IN ONE VARIABLE
KAWADA, Y
TATE, J
AMERICAN JOURNAL OF MATHEMATICS, 1955, 77 (01) : 197 - 217
[44] On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple Zp-Extensions Over Imaginary Quadratic Fields
Miura, Takashi
Murakami, Kazuaki
Okano, Keiji
Otsuki, Rei
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2022, 34 (03): : 881 - 902
[45] On the Composite Fields of Two Cubic Cyclic Extension Fields Over a Number Field
蓝以中
ChineseScienceBulletin, 1993, (01) : 19 - 22
[46] ON CYCLIC CUBIC FIELDS
ENNOLA, V
TURUNEN, R
MATHEMATICS OF COMPUTATION, 1985, 45 (172) : 585 - 589
[47] On the cyclic torsion of elliptic curves over cubic number fields
Wang, Jian
JOURNAL OF NUMBER THEORY, 2018, 183 : 291 - 308
[48] Automorphism polynomials in cyclic cubic extensions
Chapman, RJ
JOURNAL OF NUMBER THEORY, 1996, 61 (02) : 283 - 291
[49] UNRAMIFIED ABELIAN EXTENSIONS OF CM-FIELDS AND THEIR GALOIS MODULE STRUCTURE
BRINKHUIS, J
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1992, 24 : 236 - 242
[50] THE CONSTRUCTION OF UNRAMIFIED CYCLIC QUARTIC EXTENSIONS OF Q(SQUARE-ROOTM)
VAUGHAN, TP
MATHEMATICS OF COMPUTATION, 1985, 45 (171) : 233 - 242

← 1 2 3 4 5 →