Basic sets in defining characteristic for general linear groups of small rank.

DOI10.1016/j.jpaa.2008.09.006zbMath1173.20011OpenAlexW2054214057MaRDI QIDQ1004473

Olivier Brunat

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.09.006

zbMATH Keywords

irreducible charactersfinite groups of Lie type\(p\)-basic sets

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items

Submatrices of character tables and basic sets, A basic set for the alternating group, A 2-basic set of the alternating group., Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic

Uses Software

• GAP

Cites Work

• On the decomposition numbers of \(G_ 2(q)\)
• A note on Harish-Chandra induction
• Defect groups for finite groups of Lie type
• The Characters of the Finite General Linear Groups
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
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