Transfers of metabelian \(p\)-groups

DOI10.1007/s00605-010-0277-xzbMath1261.11071arXiv1403.3896OpenAlexW2054107396WikidataQ60546508 ScholiaQ60546508MaRDI QIDQ431176

Daniel C. Mayer

Publication date: 26 June 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3896

zbMATH Keywords

metabelian \(p\)-groups of maximal classprincipalisation of \(p\)-class groupsquadratic base fieldstransfers of 2-groupstree of metabelian 3-groups of non-maximal class

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

The distribution of second \(p\)-class groups on coclass graphs ⋮ Metabelian \(p\)-groups and coclass theory. ⋮ 3-class field towers of exact length 3 ⋮ Annihilator ideals of two-generated metabelian p-groups ⋮ Principalization algorithm via class group structure

Uses Software

• Coclass
• SymbCompCC

Cites Work

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• On a special class of \(p\)-groups
• Algebraic investigations of Hilbert's theorem 94, the principal ideal theorem and the capitulation problem
• Groups of prime power order. Vol. 1.
• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• Principalization algorithm via class group structure
• Some results related to Hilbert's theorem 94
• On 3-groups of second maximal class
• THE SECOND p-CLASS GROUP OF A NUMBER FIELD
• On the classification of prime-power groups by coclass
• The Groups of Order p 6 (p and Odd Prime)
• Real Quadratic Number Fields with 2-Class Group of Type (2,2).
• A remark concerning Hilbert's Theorem 94.
• Metabelian p-Groups of Maximal Class

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