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On Principal Blocks of p -Constrained Groups

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Publication:2766444
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DOI10.1112/S002461150101317XzbMath1021.16020MaRDI QIDQ2766444

Wolfgang Kimmerle, Martin Hertweck

Publication date: 28 January 2002

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


zbMATH Keywords

unitsfinite groupsautomorphismsgroup ringsaugmentation idealsisomorphism problemnormal Sylow subgroupsZassenhaus conjecture\(F^*\)-theorem


Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)


Related Items

On the Torsion Units of Some Integral Group Rings ⋮ Sylow like theorems for $V(mathbb{Z}G)$ ⋮ Algorithmic Aspects of Units in Group Rings ⋮ On Picard groups of blocks of finite groups ⋮ Some examples of Picard groups of blocks ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ Zassenhaus Conjecture for Groups of Orderp2q ⋮ Linear source invertible bimodules and Green correspondence ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ The Picard group of an order and Külshammer reduction ⋮ Units of \(p\)-power order in principal \(p\)-blocks of \(p\)-constrained groups ⋮ On the determination of Sylow numbers



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