Group rings with metabelian unit groups

DOI10.1016/j.jpaa.2021.106946zbMath1500.16030OpenAlexW3211190476MaRDI QIDQ2069805

Tibor Juhász, Ernesto Spinelli

Publication date: 21 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106946

zbMATH Keywords

group ringsunit groupderived length

Mathematics Subject Classification ID

Group rings (16S34) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Modular group algebras with centrally metabelian unit groups

Cites Work

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• Group rings with solvable unit groups of minimal derived length.
• Meta-abelian unit groups of group algebras are usually abelian
• On the lower bound of the derived length of the unit group of a nontorsion group algebra
• Group identities on units and symmetric units of group rings.
• On the derived length of the unit group of a group algebra
• Group algebras with units satisfying a group identity II
• The derived length of the unit group of a group algebra — The case G′ = Sylp(G)
• On the Solvability of Unit Groups of Group Algebras
• Group Algebras with a Solvable Group of Units^#
• The Structure of the Group Ring of a p-Group Over a Modular Field

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