Finitely generated metabelian groups arising from integer polynomials

DOI10.1515/JGTH-2023-0046OpenAlexW4387060849MaRDI QIDQ6122752

Derek J. S. Robinson

Publication date: 1 March 2024

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

Full work available at URL: https://doi.org/10.1515/jgth-2023-0046

zbMATH Keywords

metabelian grouppolynomialpolycyclic groupFrattini subgroupintegral group ringFitting subgroupresidual propertyinfinite solvable group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

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• On the Finiteness of Certain Soluble Groups
• The Frattini Subgroups of Finitely Generated Groups
• Valuations and Finitely Presented Metabelian Groups
• The Residual Nilpotence of Wreath Products
• Finiteness Conditions for Soluble Groups

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