Orbit lengths and character degrees in \(p\)-Sylow subgroups of some classical Lie groups

DOI10.1006/jabr.1995.1322zbMath0851.20007OpenAlexW1982547862WikidataQ115396147 ScholiaQ115396147MaRDI QIDQ1904232

Andrea Previtali

Publication date: 1 February 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1322

zbMATH Keywords

symplectic groupsSylow subgroupscharacter degreesconjugacy class lengths

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (8)

The essential \(p\)-dimension of the split finite quasi-simple groups of classical Lie type ⋮ On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2 ⋮ Bipartite divisor graph for the set of irreducible character degrees ⋮ Irreducible characters of Sylow subgroups of symplectic and unitary groups. ⋮ Conjugacy classes and characters in some quotients of the Nottingham group ⋮ Unitriangular actions on quadratic forms and character degrees. ⋮ An elementary method for the calculation of the set of character degress of some \(p\)-groups. ⋮ Character degrees and nilpotence class of finite 𝑝-groups: An approach via pro-𝑝 groups

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