THE INVERSE GALOIS PROBLEM FOR PSL2(Fp)

被引：10

作者：

Zywina, David ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2015年 / 164卷 / 12期

基金：

美国国家科学基金会;

关键词：

REPRESENTATIONS;

D O I：

10.1215/00127094-3129271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the simple group PSL2 (F-p) occurs as the Galois group of an extension of the rationals for all primes p >= 5. We obtain our Galois extensions by studying the Galois action on the second etale cohomology groups of a specific elliptic surface.

引用

页码：2253 / 2292

页数：40

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