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

DOI10.1007/BF02801464zbMath0693.16008OpenAlexW2154270531MaRDI QIDQ584356

Aner Shalev, Avinoam Mann

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02801464

zbMATH Keywords

group algebranilpotency classunit groupfinite p-group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) 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 (3)

The nilpotency class of the unit group of a modular group algebra. I ⋮ Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups ⋮ The nilpotency class of the unit group of a modular group algebra. III

Cites Work

• The nilpotency class of the unit group of a modular group algebra. I
• On the Lie ideals of a ring
• On the nilpotency index of the radical of a group algebra
• The power structure of \(p\)-groups. I
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• On the Associated Lie Ring and the Adjoint Group of a Radical Ring
• Groups of Units of Modular Group Algebras
• Presentations for Unit Groups of Modular Group Algebras of Groups of Order 16
• Units in Modular Group Rings

This page was built for publication: The nilpotency class of the unit group of a modular group algebra. II