Groups of Units of Modular Group Algebras

DOI10.2307/2046658zbMath0639.16006OpenAlexW4237224580MaRDI QIDQ3781232

Czesław Bagiński

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046658

zbMATH Keywords

group algebrametacyclic groupsgroup of normalized unitsfinite nonabelian p-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 (7)

The modular group algebra of a central-elementary-by-abelian p-group ⋮ Modular group algebras of 2–groups of maximal class ⋮ The nilpotency class of the unit group of a modular group algebra. II ⋮ The nilpotency class of the unit group of a modular group algebra. I ⋮ 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

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