Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups

DOI10.1515/JGT.2007.044zbMath1127.20006OpenAlexW2019059883MaRDI QIDQ5309022

Silvio Dolfi, Carlo Casolo

Publication date: 9 October 2007

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

Full work available at URL: https://doi.org/10.1515/jgt.2007.044

zbMATH Keywords

conjugacy classesfinite groupscharacter degreesHuppert conjecture

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (15)

On covering number of groups with trivial Fitting subgroup ⋮ Huppert's conjecture for character codegrees ⋮ Methods and questions in character degrees of finite groups ⋮ On the prime divisors of element orders ⋮ ON SUB-CLASS SIZES OF FINITE GROUPS ⋮ Prime divisors of irreducible character degrees. ⋮ Finite groups whose irreducible Brauer characters have prime power degrees. ⋮ The analog of Huppert's conjecture on character codegrees ⋮ Character degrees, conjugacy class sizes, and element orders: three primes ⋮ On Huppert's rho-sigma conjecture ⋮ Onp-Brauer Characters andp-Regular Conjugacy Classes ⋮ Prime Divisors ofp-regular Conjugacy Class Sizes ⋮ Blocks of small defect. ⋮ A note on Huppert's ρ – σ conjecture: An improvement on a result by Casolo and Dolfi ⋮ On Huppert's \(\rho\)-\(\sigma\) conjecture

Cites Work

• On the length of the conjugacy classes of finite groups
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• A conjecture about character degrees of solvable groups
• Character degrees of simple groups
• Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \)
• Finite groups with small conjugacy classes
• Prime Factors of Character Degrees of Solvable Groups
• On the lengths of conjugaey classes
• Primitive Groups with no Regular Orbits on the Set of Subsets
• Unnamed Item

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