Relations in the maximal pro-𝑝 quotients of absolute Galois groups

DOI10.1090/tran/8003zbMath1455.12003arXiv1808.01705OpenAlexW2979101503MaRDI QIDQ5218243

Mináč, Ján, Nguyễn Duy Tân, Michael Rogelstad

Publication date: 2 March 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01705

zbMATH Keywords

absolute Galois grouprelationminimal presentationfree pro-\(p\)-group\(p\)-cyclotomic radical extensionautomatic Galois realizationmaximal pro-\(p\) quotient

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Limits, profinite groups (20E18) Field arithmetic (12E30) Massey products (55S30)

Related Items

Enhanced Koszul properties in Galois cohomology ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Two families of pro-\(p\) groups that are not absolute Galois groups

Cites Work

• Construction of unipotent Galois extensions and Massey products
• Description of Galois unipotent extensions
• Triple Massey products and Galois theory
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Quotients of absolute Galois groups which determine the entire Galois cohomology
• Algebraic extensions of arbitrary fields
• Automatic realization of Galois groups with cyclic quotient of order \(p^n\)
• Homology, Massey products and maps between groups
• Triple Massey products and absolute Galois groups
• Triple Massey products of weight \((1,n,1)\) in Galois cohomology
• The Kummerian property and maximal pro-\(p\) Galois groups
• The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
• Galois groups and cohomological functors
• Triple Massey products vanish over all fields
• On the descending central sequence of absolute Galois groups
• Massey products and ideal class groups
• Detecting fast solvability of equations via small powerful Galois groups
• Galois Groups of Maximal p-Extensions
• The Normal Closures of Certain Kummer Extensions
• Euklidische Körper und euklidische Hüllen von Körpern.
• Classification of Demushkin Groups
• Profinite Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item