On the propagation of the mild property over a quadratic imaginary extension of \(\mathbb {Q}\)

DOI10.1007/s40316-016-0071-9zbMath1409.11091OpenAlexW2541860737MaRDI QIDQ1684199

Marine Rougnant

Publication date: 8 December 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-016-0071-9

zbMATH Keywords

pro-\(p\) groupes \(G_S\)pro-\(p\) groupes \textit{mild}ramification restreinte

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Quadratic extensions (11R11) Galois cohomology (11R34)

Related Items (1)

Zassenhaus and lower central filtrations of pro-\(p\) groups considered as modules

Uses Software

• PARI/GP

Cites Work

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• Higher Massey products in the cohomology of mild pro-\(p\)-groups.
• On the \(T\)-ramified, \(S\)-split \(p\)-class field towers over an extension of degree prime to \(p\)
• Non-commutative graded algebras and their Hilbert series
• Global \(\ell\)-adique clean field theory
• Nilpotent quotient groups
• Rings of integers of type \(K(\pi,1)\)
• Strongly free sequences and pro-p-groups of cohomological dimension 2
• Mild pro-p-groups and Galois groups of p-extensions of ℚ
• Über Pro-p-Fundamentalgruppen markierter arithmetischer Kurven
• SOME EXAMPLES OF FAB AND MILD PRO-p-GROUPS WITH TRIVIAL CUP-PRODUCT

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