Corestricted Free Products of Profinite Groups
Group Theory
2013-12-16 v1 Number Theory
Abstract
We introduce the notion of corestricted free products of a family of profinite groups indexed over an arbitrary profinite space. Using arithmetic results of the second author, this enables us to prove an analogue of Riemann's existence theorem for the decomposition groups of certain infinite sets of primes of a number field.
Keywords
Cite
@article{arxiv.1312.3841,
title = {Corestricted Free Products of Profinite Groups},
author = {Jochen Gärtner and Kay Wingberg},
journal= {arXiv preprint arXiv:1312.3841},
year = {2013}
}