Zeros of Brauer characters and the defect zero graph

DOI10.1515/JGT.2009.045zbMath1208.20009OpenAlexW2075264977MaRDI QIDQ3552302

Gunter Malle

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2009.045

zbMATH Keywords

finite simple groupsirreducible complex charactersirreducible Brauer characterscharacter degrees\(p\)-regular elementsdefect zero graphs

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (6)

Finite groups with only one \(p\)-singular Brauer character degree ⋮ Finite groups with many values in a column of the character table ⋮ Zeros of Brauer characters and linear actions of finite groups: small primes. ⋮ Finite groups whose irreducible Brauer characters have prime power degrees. ⋮ Zeros of Brauer characters and linear actions of finite groups. ⋮ On the multiplicity of character degrees of nonsolvable groups

Cites Work

• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Short proofs of embeddings into exceptional groups of Lie type
• Two maximal subgroups of \(E_8(2)\).
• On the Number of Components of a Graph Related to Character Degrees
• Almost irreducible tensor squares
• Defect zero blocks for finite simple groups

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