On perfect isometries and isotypies in finite groups

DOI10.1007/BF01232665zbMath0811.20009MaRDI QIDQ1319212

Paul Fong, Morton E. Harris

Publication date: 23 April 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144144

zbMATH Keywords

finite groupsGlauberman correspondenceBrauer's height zero conjectureprincipal blockabelian defect groupBrauer correspondentperfect isometry\(p\)-blockShintani descentabelian Sylow 2-subgroupsisotypy

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10)

Related Items

Relevés d'Isotypies de Sp(4, F_q) PourqImpair, Cartan invariants and central ideals of group algebras., Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Alperin weight conjecture and related developments, Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups, Brauer's height zero conjecture for the 2-blocks of maximal defect, On Isotypies Between Galois Conjugate Blocks, Perfect isometries for principal blocks with Abelian defect groups and elementary Abelian \(2\)-inertial quotients, Automizers as extended reflection groups., SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS, On tensor products of simple modules for simple groups., Perfect isometries and Murnaghan-Nakayama rules, Perverse equivalences and Broué's conjecture., Survey on perfect isometries, Brauer trees of unipotent blocks, On Donovan's conjecture., Isotypies for the quasisimple groups with exceptional Schur multiplier, The principal p‐blocks with four irreducible characters, Perfect generalized characters inducing the Alperin-McKay conjecture., DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9, Equivalences induced by graded bimodules, On the principal blocks of finite groups with Abelian Sylow \(p\)-subgroups, A Class of Finite Groups with Abelian Sylow p-Subgroups

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