The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3

DOI10.4153/CMB-1995-015-0zbMath0824.20006MaRDI QIDQ4698667

M. Anwar Rao, Robert Sandling

Publication date: 30 October 1995

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

group algebrasfinite \(p\)-groupscomputer language CayleyLie-nilpotent algebrasnilpotency class 3nilpotent group of unitspower- commutator relationships

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) 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)

Lie properties of the group algebra and the nilpotency class of the group of units ⋮ Mod \(2\) group algebras with metabelian unit groups ⋮ Engel properties of group algebras. II

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