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
收藏
页码：1927 / 1933
页数：7
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