A Golod-Shafarevich equality and \(p\)-tower groups

DOI10.1016/j.jnt.2009.05.014zbMath1241.11130arXiv1008.3002OpenAlexW2069309008MaRDI QIDQ841265

Cameron McLeman

Publication date: 15 September 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3002

zbMATH Keywords

imaginary quadratic number fieldsp-groupsGolod-Shafarevich inequalityp-class field tower

Mathematics Subject Classification ID

Galois theory (11R32) Generators, relations, and presentations of groups (20F05) Class field theory (11R37) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Related Items (1)

A Golod-Shafarevich equality and \(p\)-tower groups

Cites Work

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• A Golod-Shafarevich equality and \(p\)-tower groups
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• \(p\)-adic analytic groups
• On the descending central series of groups with a single defining relation
• Mild pro-p-groups and Galois groups of p-extensions of ℚ
• On the maximal unramified p-extension of an algebraic number field.
• Zum Satz von GOLOD‐SCHAFAREWITSCH
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Sur les groupes nilpotents et les anneaux de Lie

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