Mild Pro-$p$ Groups and Ordered Monoids
Group Theory
2026-04-29 v1 Number Theory
Abstract
We prove a criterion for the mildness of a finitely presented pro- group . 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- right-angled Artin groups, due to Quadrelli, Snopce and Vannacci.
Keywords
Cite
@article{arxiv.2604.25789,
title = {Mild Pro-$p$ Groups and Ordered Monoids},
author = {Ido Efrat},
journal= {arXiv preprint arXiv:2604.25789},
year = {2026}
}