Random pro-p groups, braid groups, and random tame Galois groups
Group Theory
2012-04-20 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.1204.4242,
title = {Random pro-p groups, braid groups, and random tame Galois groups},
author = {Nigel Boston and Jordan S. Ellenberg},
journal= {arXiv preprint arXiv:1204.4242},
year = {2012}
}