Zeros of Brauer characters and linear actions of finite groups: small primes.

DOI10.1016/j.jalgebra.2013.09.047zbMath1315.20007OpenAlexW2038481578MaRDI QIDQ397860

Emanuele Pacifici, Silvio Dolfi

Publication date: 12 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.09.047

zbMATH Keywords

finite groupsClifford theoryBrauer charactersirreducible actionsFitting subgroup\(p\)-Brauer character tableslinear actionsprimitive modulessemilinear groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05) Frobenius induction, Burnside and representation rings (19A22) Other matrix groups over finite fields (20H30)

Related Items (2)

Regular orbits of finite primitive solvable groups. III ⋮ Regular orbits of finite primitive solvable groups, the final classification

Uses Software

• GAP

Cites Work

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• Zeros of Brauer characters and linear actions of finite groups.
• On finite rational groups and related topics
• Regular orbits of finite primitive solvable groups
• The primitive soluble permutation groups of degree less than 256
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Orbits of permutation groups on the power set
• On independent sets in the class graph of a finite group.
• Zeros of Brauer characters and the defect zero graph
• Large orbits in coprime actions of solvable groups

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