J -Modules for Local BN -Pairs

DOI10.1112/plms/s3-63.1.69zbMath0763.20008OpenAlexW2045586629MaRDI QIDQ3981245

Andrew Chermak, Alberto Luis Delgado

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1112/plms/s3-63.1.69

zbMATH Keywords

finite groupsfinite groups of Lie typeSylow \(p\)-subgrouplocal isomorphismfailure of factorizationlocal \(BN\)-pairreduced \(J\)- moduleweak \(BN\)- pairs of rank 2

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Groups with a (BN)-pair; buildings (20E42)

Related Items (13)

A general measuring argument for finite permutation groups ⋮ Amalgams which involve sporadic simple groups. I ⋮ Amalgams which involve sporadic simple groups. II ⋮ Some amalgams in characteristic \(3\) related to \(Co_ 1\) ⋮ A Measuring Argument for Finite Groups ⋮ Pushing up weak BN-pairs of rank two ⋮ Baumann-components of finite groups of characteristic \(p\), reduction theorems ⋮ Baumann-components of finite groups of characteristic \(p\), the \(W(B)\)-theorem ⋮ Pushing up point stabilizers. I. ⋮ On a certain (O+(6,q), O+(6,q))-amalgam ⋮ Classical locally finite Tits chamber systems of rank 3 ⋮ The \(\widetilde P!\)-theorem. ⋮ Fusion systems on a Sylow \(p\)-subgroup of \(G_2(p^n)\) or \(PSU_4(p^n)\)

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