Bicyclic commutator quotients with one non-elementary component

DOI10.21136/MB.2022.0127-21arXiv2108.10754OpenAlexW3195039388MaRDI QIDQ6133022

Daniel C. Mayer

Publication date: 17 August 2023

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

Full work available at URL: https://arxiv.org/abs/2108.10754

zbMATH Keywords

imaginary quadratic fieldsstatisticsGalois actionrelation rankSchur \(\sigma\)-groups\(p\)-group generation algorithmantitony principlegenerator rankdescendant treesunramified cyclic cubic extensionsabelian quotient invariantsbicyclic \(3\)-class groupfinite \(3\)-groupsHilbert \(3\)-class field towerkernels of Artin transferslow index normal subgroupsmaximal unramified pro-\(3\) extensionpro-\(3\) groupspunctured capitulation types

Mathematics Subject Classification ID

Galois theory (11R32) Generators, relations, and presentations of groups (20F05) Quadratic extensions (11R11) Extensions, wreath products, and other compositions of groups (20E22) Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Limits, profinite groups (20E18) Other abelian and metabelian extensions (11R20)

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