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

被引：21

作者：

Lemmermeyer, F ^{[1
]}

机构：

[1] Univ Saarland, Fachbereich 14, D-66041 Saarbrucken, Germany

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 1997年 / 67卷 / 1期

关键词：

Prime Ideal; Unit Group; Galois Group; Class Number; Ideal Class;

D O I：

10.1007/BF02940830

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2,2,2) whose Hilbert 2-class fields are finite.

引用

页码：205 / 214

页数：10

共 50 条

[41] 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications
Chems-Eddin, Mohamed Mahmoud
Mueller, Katharina
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021, 17 (08) : 1781 - 1793
[42] REAL QUADRATIC NUMBER FIELDS WITH METACYCLIC HILBERT 2-CLASS FIELD TOWER
Essahel, Said
Dakkak, Ahmed
Mouhib, Ali
[J]. MATHEMATICA BOHEMICA, 2019, 144 (02): : 177 - 190
[43] RELATIONS IN THE 2-CLASS GROUP OF QUADRATIC NUMBER FIELDS
Lemmermeyer, F.
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 93 (1-2) : 115 - 120
[44] 2-CLASS NUMBERS OF SPECIAL QUADRATIC NUMBER FIELDS
BAUER, H
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1972, 252 : 79 - &
[45] DESCRIPTION OF 2-CLASS IMAGINARY QUADRATIC NUMBER-FIELDS THROUGH THE SOLUTIONS OF DIOPHANTIC EQUATIONS
ANTONIADIS, JA
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1983, 339 : 27 - 81
[46] Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2
Benjamin, Elliot
Snyder, C.
[J]. JOURNAL OF NUMBER THEORY, 2022, 238 : 1012 - 1043
[47] Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group C2 x C2 x C2
Nover, Harris
[J]. JOURNAL OF NUMBER THEORY, 2009, 129 (01) : 231 - 245
[48] IMAGINARY QUADRATIC FIELDS WITH 2-CLASS GROUP OF TYPE (2, 2(l))
Lopez, Adele
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (01) : 37 - 55
[49] On metabelian 2-class field towers over Z2-extensions of real quadratic fields
Mizusawa, Yasushi
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (03): : 795 - 805
[50] Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group (vol 173, pg 529, 2017)
Benjamin, Elliot
[J]. JOURNAL OF NUMBER THEORY, 2017, 180 : 787 - 789

← 1 2 3 4 5 →