The co-degrees of irreducible characters

DOI10.1007/BF02772950zbMath0744.20013MaRDI QIDQ1182656

Avinoam Mann, David Chillag, Olaf Manz

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

character degreesfinite groupcharacter degree graphlengths of conjugacy classesco-degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (18)

Finite groups in which all nonlinear irreducible characters have the same codegree ⋮ Groups with some cube-free irreducible character co-degrees ⋮ Co-degrees of irreducible characters in finite groups. ⋮ Codegrees and nilpotence class of \(p\)-groups. ⋮ Brauer characters and normal Sylow \(p\)-subgroups ⋮ Solvable groups whose monomial, monolithic characters have prime power codegrees ⋮ The square-free hypothesis on co-degrees of irreducible characters ⋮ A note on element orders and character codegrees. ⋮ Normal \(p\)-complements and monomial characters ⋮ Finite groups whose codegrees are almost prime ⋮ The analog of Huppert's conjecture on character codegrees ⋮ Nonsolvable groups with four character codegrees ⋮ Groups with few codegrees of irreducible characters ⋮ AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ On the codegrees of finite groups ⋮ Element orders and character codegrees ⋮ Nonsolvable groups with five character codegrees

Cites Work

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• Some conditions which almost characterize Frobenius groups.
• Generalized Frobenius groups. II.
• On character degrees quotients
• A conjecture about character degrees of solvable groups
• The characterization of finite groups with abelian Sylow 2-subgroups
• On the Number of Components of a Graph Related to Character Degrees
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Prime Factors of Conjugacy Classes of Finite Solvable Groups
• On a Graph Related to Conjugacy Classes of Groups
• Endliche Gruppen I

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