On the quotients of the maximal unramified 2-extension of a number field

DOI10.25537/dm.2018v23.1263-1290zbMath1477.11190MaRDI QIDQ1796610

Christian Maire

Publication date: 17 October 2018

Published in: Documenta Mathematica (Search for Journal in Brave)

zbMATH Keywords

cohomological dimensionunramified extensionsuniform pro-2 groups

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (1)

A global invariant and Hasse invariants at finite or real primes

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification
• The 4-class ranks of quadratic fields
• On the 4-rank of class groups of quadratic number fields
• The generalized Rédei-matrix
• Specialization of quadratic and symmetric bilinear forms. Transl. by Thomas Unger
• On a theorem of Koch
• Rings of integers of type \(K(\pi,1)\)
• \(p\)-adic analytic groups
• 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
• On the Invariant Factors of Class Groups in Towers of Number Fields
• On the Galois group of 2-extensions with restricted ramification
• Notes on étale cohomology of number fields
• Rédei-matrices and applications
• Algorithmic Number Theory

This page was built for publication: On the quotients of the maximal unramified 2-extension of a number field