Engel properties of group algebras. II

DOI10.1016/S0022-4049(97)00193-XzbMath0947.16020OpenAlexW2025604617MaRDI QIDQ1295641

János Kurdics

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00193-x

zbMATH Keywords

groups of unitslocally nilpotent groupscommutator subgroupsmodular group algebras\(3\)-Engel group algebras\(p\)-Engel groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

On the derived length of the unit group of group algebras of groups with cyclic commutator subgroup ⋮ The derived length of the unit group of a group algebra — The case G′ = Sylp(G) ⋮ Lie properties of the group algebra and the nilpotency class of the group of units

Cites Work

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• The nilpotency class of the unit group of a modular group algebra. I
• Meta-abelian unit groups of group algebras are usually abelian
• Mod \(2\) group algebras with metabelian unit groups
• On group algebras with metabelian unit groups
• ENGEL PROPERTIES OF THE MULTIPLICATIVE GROUP OF A GROUP ALGEBRA
• Groups of Units of Modular Group Algebras
• The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3

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