Characters of the Borel and Sylow subgroups of classical groups

DOI10.1016/S0021-8693(03)00344-2zbMath1027.20023MaRDI QIDQ1403894

Balázs Szegedy

Publication date: 20 August 2003

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

zbMATH Keywords

irreducible charactersSylow subgroupsclassical groupscharacter degreesBorel subgroups\(M\)-groups

Mathematics Subject Classification ID

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

Related Items (10)

A super-class walk on upper-triangular matrices ⋮ Representations of Unitriangular Groups ⋮ Irreducible characters of groups associated with finite nilpotent algebras with involution. ⋮ Characters of the Sylow \(p\)-subgroups of the Chevalley groups \(D_4(p^n)\). ⋮ Representations of McLain groups ⋮ Conjugacy Classes in Sylowp-Subgroups of Finite Chevalley Groups in Bad Characteristic ⋮ Irreducible characters of Sylow subgroups of symplectic and unitary groups. ⋮ Character Table of a Borel Subgroup of the Ree Groups ²F₄(q²) ⋮ Unitriangular actions on quadratic forms and character degrees. ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the characters of the group of upper-triangular matrices
• Representations of finite Chevalley groups. A survey
• Proof of Springer's hypothesis
• Characters of groups associated with finite algebras
• On a conjecture concerning character degrees of some \(p\)-groups
• Maps behaving like exponentials and maximal unipotent subgroups of groups of Lie type
• On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2

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