Irreducible characters of large degree of Sylow \(p\)-subgroups of classical groups.

DOI10.1016/j.jalgebra.2008.12.010zbMath1169.20009OpenAlexW2011326531MaRDI QIDQ1014617

Josu Sangroniz

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.010

zbMATH Keywords

irreducible charactersSylow subgroupscoadjoint orbitsclassical groupsKirillov method

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

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Cites Work

• Super-characters of finite unipotent groups of types \(B_n\), \(C_n\) and \(D_n\).
• Characters of groups associated with finite algebras
• Counting characters of upper triangular groups.
• Irreducible characters of Sylow subgroups of symplectic and unitary groups.
• Irreducible characters of a sylowp-subgroup of the orthogonal group
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