Infinite 2-class field towers of some imaginary quadratic number fields

被引：4

作者：

Sueyoshi, Y ^{[1
]}

机构：

[1] Nagasaki Univ, Fac Engn, Dept Comp & Informat Sci, Nagasaki 8528521, Japan

来源：

ACTA ARITHMETICA | 2004年 / 113卷 / 03期

关键词：

quadratic fields; class group; class field tower;

D O I：

10.4064/aa113-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

下载

页码：251 / 257

页数：7

共 50 条

[21] On the 2-class field tower of some imaginary biquadratic number fields
Elliot Benjamin
The Ramanujan Journal, 2006, 11 : 103 - 110
[22] On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4
Benjamin, Elliot
JOURNAL OF NUMBER THEORY, 2015, 154 : 118 - 143
[23] On 2-ciass field towers of some imaginary quadratic number fields
F. Lemmermeyer
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1997, 67 : 205 - 214
[24] Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3
Benjamin, E
Parry, CJ
JOURNAL OF NUMBER THEORY, 1999, 76 (02) : 167 - 177
[25] On the Hilbert 2-Class Field Tower of Some Imaginary Biquadratic Number Fields
Mohamed Mahmoud Chems-Eddin
Abdelmalek Azizi
Abdelkader Zekhnini
Idriss Jerrari
Czechoslovak Mathematical Journal, 2021, 71 : 269 - 281
[26] ON THE HILBERT 2-CLASS FIELD TOWER OF SOME IMAGINARY BIQUADRATIC NUMBER FIELDS
Chems-Eddin, Mohamed Mahmoud
Azizi, Abdelmalek
Zekhnini, Abdelkader
Jerrari, Idriss
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (01) : 269 - 281
[27] CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FIELDS
BRINK, JR
GOLD, R
MANUSCRIPTA MATHEMATICA, 1987, 57 (04) : 425 - 450
[28] Abelian 2-class field towers over the cyclotomic Z2-extensions of imaginary quadratic fields
Mizusawa, Yasushi
Ozaki, Manabu
MATHEMATISCHE ANNALEN, 2010, 347 (02) : 437 - 453
[29] The narrow 2-class field tower of some real quadratic number fields
Benjamin, Elliot
Snyder, C.
ACTA ARITHMETICA, 2020, 194 (02) : 187 - 217
[30] Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group
Benjamin, Elliot
JOURNAL OF NUMBER THEORY, 2017, 173 : 529 - 546

← 1 2 3 4 5 →