Finite groups with only one \(p\)-singular Brauer character degree

DOI10.1016/J.JPAA.2016.02.010zbMath1359.20009OpenAlexW2293746219MaRDI QIDQ273000

F. Blanchet-Sadri, M. Dambrine

Publication date: 21 April 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.02.010

zbMATH Keywords

\(p\)-singular degreeBrauer characterT.I. Sylow subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Uses Software

• GAP

Cites Work

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• The representation theory of the symmetric groups
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• Character degree graphs that are complete graphs
• Zeros of Brauer characters and the defect zero graph
• Groups with just one character degree divisible by a given prime
• Half-Transitive Automorphism Groups
• The Characters of the Finite Symplectic Group Sp(4,q)
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
• Low-dimensional representations of special unitary groups

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