On a conjecture concerning character degrees of some \(p\)-groups

DOI10.1007/BF01198066zbMath0860.20013OpenAlexW2040127796WikidataQ122928784 ScholiaQ122928784MaRDI QIDQ1924557

Andrea Previtali

Publication date: 20 February 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198066

zbMATH Keywords

sectionsLie algebrascharacter degreesexponential maps\(p\)-Sylow subgroupsstrong subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representations of finite groups of Lie type (20C33)

Related Items (10)

The essential \(p\)-dimension of the split finite quasi-simple groups of classical Lie type ⋮ Characters of the Borel and Sylow subgroups of classical groups ⋮ On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2 ⋮ Constructing representations of the finite symplectic group \(\text{Sp}(4,q)\). ⋮ 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. ⋮ Irreducible characters of a sylowp-subgroup of the orthogonal group ⋮ Maps behaving like exponentials and maximal unipotent subgroups of groups of Lie type

Cites Work

• Proof of Springer's hypothesis
• Characters of groups associated with finite algebras

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