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

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

2012-04-19

arxiv.org/abs/1204.4242v1

Groups, Geometry and Dynamics: Volume 5, Issue 2, 2011, pp. 265-280

Mathematics

Group Theory

Scientific paper

10.4171/GGD/127

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.

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