## Uncountably many non-commensurable finitely presented pro-$p$ groups

*Snopce, Ilir*;

- Subject: Mathematics - Group Theory | 20E18, 22E20arxiv: Mathematics::Metric Geometry | Mathematics::Group Theory

Let $m\geq 3$ be a positive integer. We prove that there are uncountably many non-commensurable metabelian uniform pro-$p$ groups of dimension $m$. Consequently, there are uncountably many non-commensurable finitely presented pro-$p$ groups with minimal number of genera... View more

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