Random pro-p groups, braid groups, and random tame Galois groups

被引：5

作者：

Boston, Nigel ^{[1
]}

Ellenberg, Jordan S. ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2011年 / 5卷 / 02期

基金：

爱尔兰科学基金会;

关键词：

Braid groups; random matrices; Cohen-Lenstra; Galois groups; restricted ramification; pro-p groups;

D O I：

10.4171/GGD/127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a heuristic prediction for the distribution of the isomorphism class of the Galois group of the maximal pro-p extension of Q unramified outside a "random" set of primes. This is guided by reasoning similar to that governing the Cohen-Lenstra conjectures. We conclude by describing theoretical and experimental evidence for our heuristic.

引用

页码：265 / 280

页数：16

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