Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification

DOI10.1016/j.jalgebra.2011.01.019zbMath1266.11117arXiv0903.4383OpenAlexW2045518427MaRDI QIDQ645246

John P. Labute, Mináč, Ján

Publication date: 8 November 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4383

zbMATH Keywords

restricted ramificationGalois groupLie algebra2-central seriesmaximal 2-extensionmild pro-2-groupstrongly free sequence

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40) Galois cohomology (11R34)

Related Items

Dimensions of Zassenhaus filtration subquotients of some pro-\(p\)-groups, The cohomology of canonical quotients of free groups and Lyndon words, Mild pro-\(p\) groups and the Koszulity conjectures, Zassenhaus and lower central filtrations of pro-\(p\) groups considered as modules, A note on asymptotically good extensions in which infinitely many primes split completely, Higher Massey products in the cohomology of mild pro-\(p\)-groups., Pro‐p groups of positive rank gradient and Hausdorff dimension, Triple Massey products and Galois theory, The Zassenhaus filtration, Massey products, and representations of profinite groups, On the quotients of the maximal unramified 2-extension of a number field, On pro-𝑝 link groups of number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(p\)-adic analytic groups
• Pseudocompact algebras, profinite groups and class formations
• Analogies between Knots and Primes, 3-Manifolds and Number Rings
• Circular sets of prime numbers and p-extensions of the rationals
• Über Pro-p-Fundamentalgruppen markierter arithmetischer Kurven
• Über Pro-p-Gruppen der kohomologischen Dimension 2
• Algebraic number fields