The principal \(3\)-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic

DOI10.1006/jabr.1999.8167zbMath0959.20011OpenAlexW1976307789MaRDI QIDQ1977543

Shigeo Koshitani, Hyohe Miyachi

Publication date: 31 January 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8167

zbMATH Keywords

Morita equivalencesderived equivalencesprincipal blocksBroué's conjecturestable equivalencesprojective special linear groupsblocks of group algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items

Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups, Eigenvector matrices of Cartan matrices for finite groups., Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups., SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS, On tensor products of simple modules for simple groups., Perverse equivalences and Broué's conjecture., Rouquier blocks in Chevalley groups of type \(E\)., DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9, Equivalent blocks of finite general linear groups in non-describing characteristic., ON THE FROBENIUS–PERRON EIGENVALUES OF CARTAN MATRICES FOR SOME FINITE GROUPS, Edge-primitive tetravalent graphs, Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9

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