Irreducible characters of Sylow subgroups of symplectic and unitary groups.

DOI10.1016/j.jalgebra.2005.11.029zbMath1114.20006OpenAlexW2051967653MaRDI QIDQ2509280

Fernando Szechtman

Publication date: 19 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.11.029

zbMATH Keywords

symplectic groupsirreducible charactersSylow subgroupsunitary groupsmaximum degree characters

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 (2)

Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings ⋮ Irreducible characters of large degree of Sylow \(p\)-subgroups of classical groups.

Cites Work

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• Proof of Springer's hypothesis
• Characters of the Borel and Sylow subgroups of classical groups
• Basic characters of the unitriangular group
• Orbit lengths and character degrees in \(p\)-Sylow subgroups of some classical Lie groups
• Characters of groups associated with finite algebras
• On a conjecture concerning character degrees of some \(p\)-groups
• Irreducible characters of a sylowp-subgroup of the orthogonal group
• THE STEINBERG LATTICE OF A FINITE CHEVALLEY GROUP AND ITS MODULAR REDUCTION
• The 2-Modular Reduction of the Steinberg Representation of a Finite Chevalley Group of Type C n
• On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2

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