SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3

DOI10.1081/AGB-120015664zbMath1021.20007MaRDI QIDQ4796307

Mark L. Lewis

Publication date: 24 March 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

irreducible complex characterssolvable groupsdiameters of 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

Character degree graphs of solvable groups with diameter three ⋮ Regular character degree graphs. ⋮ The Taketa problem and character degree graphs with diameter three. ⋮ Character graphs with diameter three ⋮ Coloring of character graphs ⋮ Prime graphs of finite groups with a small number of triangles. ⋮ On cut vertices and eigenvalues of character graphs of solvable groups ⋮ Bounding Fitting Heights of Two Classes of Character Degree Graphs ⋮ A solvable group whose character degree graph has diameter $3$ ⋮ Hamiltonian character graphs ⋮ Bounding graph diameters of solvable groups. ⋮ On the absence of a normal nonabelian Sylow subgroup ⋮ Classifying families of character degree graphs of solvable groups ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Solvable groups whose character degree graphs generalize squares ⋮ Classifying character degree graphs with six vertices ⋮ Fitting Height and Diameter of Character Degree Graphs ⋮ Solvable groups whose prime divisor character degree graphs are 1-connected ⋮ On prime character degree graphs occurring within a family of graphs ⋮ Finite groups with \(K_4\)-free prime graphs.

Cites Work

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• Endliche Gruppen I
• Bounding Fitting heights of character degree graphs
• Derived lengths of solvable groups having five irreducible character degrees. I.