The character co-degree sets and solvability

DOI10.1142/s0219498824501172OpenAlexW4317520079MaRDI QIDQ6192147

Ali Reza Naghipour, Roya Bahramian, Neda Ahanjideh

Publication date: 11 March 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824501172

zbMATH Keywords

two-prime hypothesisco-degree of a character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Cites Work

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• Finite groups with a given set of character degrees.
• Characters of relative \(p^\prime\)-degree over normal subgroups
• Rational matrix groups of a special type
• On character degrees quotients
• Extending the Steinberg representation
• On Thompson's theorem
• Some nonsolvable character degree sets
• Co-degrees of irreducible characters in finite groups.
• The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to \(\mathrm{PSL}_2(q)\)
• \(p\)-parts of co-degrees of irreducible characters
• Character degree graphs that are complete graphs
• Element orders and character codegrees
• NONDIVISIBILITY AMONG IRREDUCIBLE CHARACTER CO-DEGREES
• -DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS
• The one-prime hypothesis on the co-degrees of irreducible characters
• Non-solvable groups and the two-prime hypothesis on conjugacy class sizes
• The set of character degrees of a finite group does not determine its solvability
• Nonsolvable groups with five character codegrees
• Nonsolvable groups with no prime dividing three character degrees.
• Prime power degree representations of quasi-simple groups
• The Fitting subgroup, p‐length, derived length and character table
• Multiplicities of character codegrees of finite groups

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