On the Number of Generators and the Modular Group-Ring of a Finite p-Group

DOI10.2307/2045681zbMath0611.20003OpenAlexW4255439938MaRDI QIDQ3751762

Olaf Manz, Reiner Staszewski

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2045681

zbMATH Keywords

finite \(p\)-groupsJacobson radicalgroup ringsdescending central seriesminimal number of generatorsLoewy series

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Radicals and radical properties of associative rings (16Nxx)

Related Items (4)

Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras ⋮ Group algebra series and coboundary modules. ⋮ Finite \(p\)-groups ⋮ Augmentation-filtration and normal distribution.

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