Galois representations with open image

被引：30

作者：

Greenberg, Ralph ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

ANNALES MATHEMATIQUES DU QUEBEC | 2016年 / 40卷 / 01期

基金：

美国国家科学基金会;

关键词：

Galois representations; Iwasawa theory; pro- p groups;

D O I：

10.1007/s40316-015-0050-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an approach to constructing Galois extensions of Q with Galois group isomorphic to an open subgroup of GL(n)(Z(p)) for various values of n and primes p. The approach involves studying a certain topological generating set for a Sylow pro-p subgroup of SLn(Z(p)). It also involves finding algebraic number fields which admit a Galois extension with Galois group isomorphic to a free pro-p on n generators.

引用

页码：83 / 119

页数：37

共 25 条

[1] EXPLICIT DEFORMATION OF GALOIS REPRESENTATIONS [J].