Deformations of locally abelian Galois representations and unramified extensions

被引：5

作者：

Ohtani, Sachiko ^{[1
]}

机构：

[1] Natl Def Acad, Dept Math, Yokosuka, Kanagawa 2398686, Japan

来源：

JOURNAL OF NUMBER THEORY | 2006年 / 120卷 / 02期

关键词：

unramitied Galois extensions; Galois representations; deformation theory; companion forms;

D O I：

10.1016/j.jnt.2005.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the deformation theory of Galois representations whose restriction to every decomposition subgroup is abelian. As an application, we construct unramified non-solvable extensions over the field obtained by adjoining all p-power roots of unity to the field of rational numbers. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：272 / 286

页数：15

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