An answer to a question of Isaacs on character degree graphs.

DOI10.1016/j.aim.2004.11.008zbMath1097.20012OpenAlexW2037527875MaRDI QIDQ2369428

Alexander Moretó

Publication date: 9 May 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.11.008

zbMATH Keywords

finite solvable groupsirreducible characterscharacter degree graphs

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (17)

Brauer's height zero conjecture for the 2-blocks of maximal defect ⋮ Huppert's conjecture for alternating groups ⋮ Characters of relative \(p^\prime\)-degree over normal subgroups ⋮ Taketa's theorem for relative character degrees. ⋮ On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\). ⋮ Characterization of some almost simple groups with socle PSp4(q) by their character degrees ⋮ On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\). ⋮ GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS ⋮ Finite groups with K₅-free prime graphs ⋮ The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees. ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ PROJECTIVE CHARACTERS WITH PRIME POWER DEGREES ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ On Huppert's Conjecture for Alternating Groups of Low Degrees ⋮ Groups with the same character degrees as sporadic quasisimple groups ⋮ PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

Cites Work

• Subgroups of prime power index in a simple group
• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• Thompson's problem (\(\sigma^2=3\)) With two appendices. I: The numerical verification of Thompson's identity by Andrew Odlyzko: II: A check of the Ree group conjecture for small fields by David Hunt
• In search of nonsolvable groups of central type
• Brauer's height zero conjecture for central quotients of special linear and special unitary groups
• Upper bounds for the number of conjugacy classes of a finite group
• Irreducible character degrees and normal subgroups
• Connectedness of degree graphs of nonsolvable groups.
• The characterization of finite groups with abelian Sylow 2-subgroups
• Solvable groups whose degree graphs have two connected components
• Prime Power Degree Representations of the Double Covers of the Symmetric and Alternating Groups
• Groups whose Projective character degrees are powers of a prime
• Projective characters of odd degree
• A Fixed-Point Theorem for Central Elements in Quasisimple Groups
• Character degree graphs and normal subgroups
• Prime power degree representations of quasi-simple groups
• Derived lengths of solvable groups having five irreducible character degrees. I.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An answer to a question of Isaacs on character degree graphs.