The nilpotency class of the unit group of a modular group algebra. I

DOI10.1007/BF02801463zbMath0713.16020OpenAlexW4238892043MaRDI QIDQ749633

Aner Shalev

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02801463

zbMATH Keywords

nilpotency classwreath productgroup of normalized unitsmodular group algebrafinite p-groupcyclic derived group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

The nilpotency class of the unit group of a modular group algebra. II ⋮ Lie properties of the group algebra and the nilpotency class of the group of units ⋮ Engel properties of group algebras. II ⋮ Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups ⋮ The nilpotency class of the unit group of a modular group algebra. III

Cites Work

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• The nilpotency class of the unit group of a modular group algebra. II
• On the Lie ideals of a ring
• Polynomial functions and wreath products
• Groups of Units of Modular Group Algebras
• Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units
• Presentations for Unit Groups of Modular Group Algebras of Groups of Order 16
• On p-groups with a cyclic commutator subgroup
• Units in Modular Group Rings
• Endliche Gruppen I

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