HILBERT 2-CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FUNCTION FIELDS

被引：0

作者：

Jung, Hwanyup ^{[1
]}

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Chongju 361763, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Hilbert 2-class field tower; imaginary quadratic function field;

D O I：

10.4134/BKMS.2013.50.3.1049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the infiniteness of Hilbert 2-class field towers of imaginary quadratic function fields over F-q(T), where q is a power of an odd prime number.

引用

下载

页码：1049 / 1060

页数：12

共 50 条

[21] ON 2-CLASS FIELD TOWERS OF SOME REAL QUADRATIC NUMBER FIELDS WITH 2-CLASS GROUPS OF RANK 3
Mouhib, A.
ILLINOIS JOURNAL OF MATHEMATICS, 2013, 57 (04) : 1009 - 1018
[22] 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
[23] On imaginary quadratic number fields with 2-class group of rank 4 and infinite 2-class field tower
Benjamin, E
PACIFIC JOURNAL OF MATHEMATICS, 2001, 201 (02) : 257 - 266
[24] 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
[25] 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
[26] 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
[27] REAL QUADRATIC NUMBER FIELDS WITH METACYCLIC HILBERT 2-CLASS FIELD TOWER
Essahel, Said
Dakkak, Ahmed
Mouhib, Ali
MATHEMATICA BOHEMICA, 2019, 144 (02): : 177 - 190
[28] 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications
Chems-Eddin, Mohamed Mahmoud
Mueller, Katharina
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021, 17 (08) : 1781 - 1793
[29] CONSTRUCTION OF THE HILBERT CLASS FIELD OF SOME IMAGINARY QUADRATIC FIELDS
Oh, Jangheon
KOREAN JOURNAL OF MATHEMATICS, 2018, 26 (02): : 293 - 297
[30] HILBERT l-CLASS FIELD TOWERS OF IMAGINARY l-CYCLIC FUNCTION FIELDS
Jung, Hwanyup
KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (04): : 477 - 483

← 1 2 3 4 5 →