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arXiv · 2301.12982

Profinite Completion of Free Pro-$\mathcal{C}$ Groups

Tamar Bar-On
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Abstract

We investigate the ability of a free pro-$\CC$ group of infinite rank to abstractly solve abstract embedding problems, and conclude that for some varieties $\CC$, the profinite completion of any order, of a free pro-$\CC$ group of infinite rank, is a free pro-$\CC$ group as well, of the corresponding rank.

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Tamar Bar-On. 2023-01-30. Profinite Completion of Free Pro-$\mathcal{C}$ Groups. https://arxiv.org/abs/2301.12982

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