Projective limits of group rings

DOI10.1016/0022-4049(93)90017-NzbMath0786.20002OpenAlexW2070942661MaRDI QIDQ686030

Klaus W. Roggenkamp, Wolfgang Kimmerle

Publication date: 27 April 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90017-n

zbMATH Keywords

projective limitsolvable groupsfinite groupintegral group ringsisomorphism problemZassenhaus conjectureFitting subgroupaugmentation ideal

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Autoequivalences of blocks and a conjecture of Zassenhaus ⋮ Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus ⋮ Unnamed Item ⋮ Class-preserving automorphisms of finite groups ⋮ Local analysis of the normalizer problem ⋮ 𝑛-inner automorphisms of finite groups

Cites Work

• Induced representations and projective modules
• Projective covers for augmentation ideals of finite groups
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• Decomposition of the Relation Modules of a Finite Group
• Endliche Gruppen I
• Isomorphisms of p-adic group rings
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