A CHARACTER-THEORETIC CRITERION FOR THE SOLVABILITY OF FINITE GROUPS

DOI10.1017/S0004972715001574zbMath1359.20006OpenAlexW2273989139MaRDI QIDQ3186376

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Publication date: 9 August 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001574

zbMATH Keywords

solvabilityfinite groupirreducible charactercharacter degree

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Characters of relative \(p^\prime\)-degree over normal subgroups
• Rational matrix groups of a special type
• Extending the Steinberg representation
• Irreducible character degrees and normal subgroups
• Connectedness of degree graphs of nonsolvable groups.
• On Thompson's theorem
• Finite groups with exactly one composite character degree
• Character degrees of extensions of PSL2(q) and SL2(q)
• PRIME POWER DEGREE REPRESENTATIONS OF THE SYMMETRIC AND ALTERNATING GROUPS
• Prime Power Degree Representations of the Double Covers of the Symmetric and Alternating Groups
• Character degree graphs that are complete graphs
• The set of character degrees of a finite group does not determine its solvability
• Prime power degree representations of quasi-simple groups

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