Directed graphs, Frattini-resistance, and maximal pro-\(p\) Galois groups

DOI10.1016/J.JPAA.2024.107857MaRDI QIDQ6671777

Claudio Quadrelli

Publication date: 27 January 2025

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Massey productsmaximal pro-\(p\) Galois groupsFrattini-resistant pro-\(p\) groupsoriented right-angled Artin pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Galois cohomology (12G05) Cohomology of groups (20J06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Limits, profinite groups (20E18)

Cites Work

• Title not available (Why is that?)
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• Triple Massey products and Galois theory
• Subgroups of graph groups
• Homology, Massey products and maps between groups
• Small maximal pro-\(p\) Galois groups
• Triple Massey products and absolute Galois groups
• The Kummerian property and maximal pro-\(p\) Galois groups
• Two families of pro-\(p\) groups that are not absolute Galois groups
• On pro-\(p\) groups with quadratic cohomology
• Groups of \(p\)-absolute Galois type that are not absolute Galois groups
• Profinite groups with a cyclotomic \(p\)-orientation
• Right-angled Artin groups and enhanced Koszul properties
• The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
• On a class of pro-p groups occurring in Galois theory
• The Zassenhaus filtration, Massey products, and representations of profinite groups
• Frattini-resistant direct products of pro-\(p\) groups
• Graph Theory
• SUBGROUPS AND HOMOLOGY OF FREE PRODUCTS OF PROFINITE GROUPS
• Detecting pro-p-groups that are not absolute Galois groups
• Right‐angled Artin pro‐p$p$ groups
• Chasing maximal pro-\(p\) Galois groups via 1-cyclotomicity
• Oriented right-angled Artin pro-\(\ell\) groups and maximal pro-\(\ell\) Galois groups

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