Modular group algebras with centrally metabelian unit groups

DOI10.1016/j.jalgebra.2023.06.011zbMath1526.16022OpenAlexW4381487113MaRDI QIDQ6169179

Meena Sahai, Tibor Juhász

Publication date: 11 July 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.06.011

zbMATH Keywords

group of unitsderived lengthcentre-by-metabeliancentrally metabeliangroup algeras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Group rings with solvable unit groups of minimal derived length.
• Group algebras with centrally metabelian unit groups
• Meta-abelian unit groups of group algebras are usually abelian
• Lie centrally metabelian group rings
• A note on Lie centrally metabelian group algebras
• Group rings with metabelian unit groups
• On the lower bound of the derived length of the unit group of a nontorsion group algebra
• On the derived length of the unit group of a group algebra
• The derived length of the unit group of a group algebra — The case G′ = Sylp(G)
• Group Algebras with a Solvable Group of Units^#

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