On a class of pro-p groups occurring in Galois theory

DOI10.1016/0022-4049(85)90063-5zbMath0561.20029OpenAlexW1985963545MaRDI QIDQ2266063

Tilmann Wuerfel

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90063-5

zbMATH Keywords

inflationabsolute Galois groupcup productabsolutely torsion-free and soluble pro-p groupabsolutely torsion-free pro-p groupsmaximal p-extension of fields

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Homological methods in group theory (20J05) Limits, profinite groups (20E18)

Related Items

Galois-theoretic features for 1-smooth pro-p groups, Right‐angled Artin pro‐p$p$ groups, Frattini-resistant direct products of pro-\(p\) groups, Quotients of absolute Galois groups which determine the entire Galois cohomology, Two families of pro-\(p\) groups that are not absolute Galois groups, Groups of \(p\)-absolute Galois type that are not absolute Galois groups

Cites Work

• Galois Cohomology
• Unendliche algebraische Zahlkörper, über denen jede Gleichung auflösbar von beschränkter Stufe ist
• A subgroup theorem for free products of pro-finite groups
• Unnamed Item
• Unnamed Item