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

Nigel Boston, Jordan S. Ellenberg

Type: Article

Publication Date: 2011-03-06

Citations: 5

DOI: https://doi.org/10.4171/ggd/127

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.

Locations

arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
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Groups Geometry and Dynamics - View - PDF

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