Mild Pro-$p$ Groups and Ordered Monoids
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914514516049920 |
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| author | Efrat, Ido |
| author_facet | Efrat, Ido |
| contents | 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 Gärtner. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25789 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mild Pro-$p$ Groups and Ordered Monoids Efrat, Ido Group Theory Number Theory Primary 20E18, Secondary 12G05, 20J06 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 Gärtner. 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. |
| title | Mild Pro-$p$ Groups and Ordered Monoids |
| topic | Group Theory Number Theory Primary 20E18, Secondary 12G05, 20J06 |
| url | https://arxiv.org/abs/2604.25789 |