Prosoluble subgroups of free profinite products
Group Theory
2024-11-20 v2 Number Theory
Abstract
We describe free prosoluble subgroups of a free product of profinite groups by strengthening the theorem of Frorian Pop and answering two questions of K. Ersoy and W. Herfort. Relatively projective prosoluble groups are also described.
Keywords
Cite
@article{arxiv.2312.09315,
title = {Prosoluble subgroups of free profinite products},
author = {Pavel Zalesskii},
journal= {arXiv preprint arXiv:2312.09315},
year = {2024}
}
Comments
Theorem 1.5 of this version is proved within slightly more general definition of relative projectivity (see Definition 5.1.1 in D. Haran and M. Jarden, The absolute Galois Group of a Semi-local Field, Springer, 2021) than in the version to appear in Forum of Mathematics, Sigma