Perfect isometries in the blocks with abelian defect of symmetric and sporadic groups

DOI10.1006/jabr.1994.1248zbMath0854.20016OpenAlexW1976684242MaRDI QIDQ1335091

Raphaël Rouquier

Publication date: 27 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1248

zbMATH Keywords

symmetric groupssporadic simple groupsprincipal blocksBrauer correspondenceAbelian Sylow subgroupsAbelian defect groupsisotypy

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Representations of sporadic groups (20C34)

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Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Perfect isometries for principal blocks with Abelian defect groups and elementary Abelian \(2\)-inertial quotients, Perfect isometries and Murnaghan-Nakayama rules, Survey on perfect isometries, Isotypies for the quasisimple groups with exceptional Schur multiplier, Character correspondences for symmetric groups and wreath products, Representation theory of symmetric groups and related Hecke algebras, Isometries and extra special Sylow groups of order \(p^3\)., Generalised Cartan invariants of symmetric groups, The Glauberman character correspondence and perfect isometries for blocks of finite groups