Profinite Completion of Free Pro-$\mathcal{C}$ Groups
Group Theory
2023-01-31 v1
Abstract
We investigate the ability of a free pro- group of infinite rank to abstractly solve abstract embedding problems, and conclude that for some varieties , the profinite completion of any order, of a free pro- group of infinite rank, is a free pro- group as well, of the corresponding rank.
Cite
@article{arxiv.2301.12982,
title = {Profinite Completion of Free Pro-$\mathcal{C}$ Groups},
author = {Tamar Bar-On},
journal= {arXiv preprint arXiv:2301.12982},
year = {2023}
}