Autoequivalences of blocks and a conjecture of Zassenhaus

DOI10.1016/0022-4049(94)00091-VzbMath0834.20005WikidataQ122943304 ScholiaQ122943304MaRDI QIDQ1901019

Gerhard Hiss, Frauke M. Bleher, Wolfgang Kimmerle

Publication date: 30 January 1996

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

zbMATH Keywords

unitsfinitely generated modulesfinite simple groupsblockscyclic defect groupscharacter tablesintegral group ringsdecomposition matricesZassenhaus conjectureaugmented algebrasMathieu groupsBrauer treesZassenhaus factorizationsaugmented automorphismssporadic Thompson group

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item, Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups, Zassenhaus conjecture for central extensions of S 5, Tensor products and a conjecture of Zassenhaus, Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q), An application of blocks to torsion units in group rings, Operations on ring structures preserved by normalized automorphisms of group rings, On the Structure of Integral Group Rings of Sporadic Groups

Uses Software

• GAP

Cites Work

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