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arXiv · 2604.25789

Mild Pro-$p$ Groups and Ordered Monoids

Ido Efrat
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Abstract

We prove a criterion for the mildness of a finitely presented pro-$p$ group $G$. It implies as a special case a cohomological mildness criterion via Massey products, generalizing results due to Schmidt and G\"artner. It subsumes Labute's non-singular circuit criterion. We further show connections with the triangle condition for the mildness of pro-$p$ right-angled Artin groups, due to Quadrelli, Snopce and Vannacci.

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Ido Efrat. 2026-04-28. Mild Pro-$p$ Groups and Ordered Monoids. https://arxiv.org/abs/2604.25789

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