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.
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页码：83 / 119
页数：37
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