Dade's Conjecture for General Linear Groups in the Defining Characteristic

DOI10.1112/plms/s3-72.2.359zbMath0862.20009OpenAlexW2066500058WikidataQ123095321 ScholiaQ123095321MaRDI QIDQ4892407

Katsuhiro Uno, Jørn B. Olsson

Publication date: 26 May 1997

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

Full work available at URL: https://doi.org/10.1112/plms/s3-72.2.359

zbMATH Keywords

finite groups\(p\)-blockslinear groupsprincipal blocknumber of irreducible charactersDade's conjecturechains of \(p\)-subgroupsradical chainsblocks of positive defect

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (6)

Dade's conjecture for the simple O'Nan group ⋮ On heights of characters of finite groups ⋮ Dade's conjecture for special linear groups in the defining characteristic ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′₂₄ ⋮ Projective characters of odd degree ⋮ Dade’s invariant conjecture for general linear and unitary groups in non-defining characteristics

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