Capitulation of the 2-class group of some cyclic number fields with large degree

被引：2

作者：

Mouhib, Ali ^{[1
]}

机构：

[1] Univ Mohammed Ben Abdellah Fes, Polydisciplinary Fac Taza, Sci & Engn Lab, LSI, BP 1223, Taza Gare, Morocco

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 14-15期

关键词：

Class group; unit group; capitulation problem; Iwasawa theory of Z(2)-extensions; QUADRATIC FIELDS; IDEALS;

D O I：

10.1002/mana.201500355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the capitulation problem of the 2-class group of some cyclic number fields M with large degree and 2-class group isomorphic to Z/2ZxZ/2Z. Precisely, we give the structure of the Galois group of the maximal unramified 2-extension over M.

引用

页码：1927 / 1933

页数：7

共 17 条

[1] [Anonymous], 1968, Finite Groups
[2] Capitulation of the 2-classes of ideals of certain biquadratic bodies whose kinds of bodies differ from 2-body Hilbert classes
Azizi, A
Mouhib, A
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2005, 218 (01) : 17 - 36
[3] Capitulation of a 2-classes of ideals of Q(√2, √d) where d is a natural integer without squared factors
Azizi, A
Mouhib, A
[J]. ACTA ARITHMETICA, 2003, 109 (01) : 27 - 63
[4] Azizi A., 2003, ANN SCI MATH QUEBEC, V27, P123
[5] Capitulation of 2-classes of ideals of certain cyclic biquadratic fields
Azizi, Abdelmalek
Talbi, Mohammed
[J]. ACTA ARITHMETICA, 2007, 127 (03) : 231 - 248
[6] Azizi A, 2008, ARCH MATH-BRNO, V44, P271
[7] Real quadratic number fields with 2-class group of type (2,2)
Benjamin, E
Snyder, C
[J]. MATHEMATICA SCANDINAVICA, 1995, 76 (02) : 161 - 178
[8] COUTURE R, 1992, CR ACAD SCI I-MATH, V314, P785
[9] THE CYCLOTOMIC Z2-EXTENSION OF IMAGINARY QUADRATIC FIELDS
FERRERO, B
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1980, 102 (03) : 447 - 459
[10] Fukuda T., 1986, TOKYO J MATH, V20, P475

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