Bounding graph diameters of solvable groups.

DOI10.1016/j.jalgebra.2003.02.010zbMath1077.20010OpenAlexW2010139370MaRDI QIDQ1763892

John K. McVey

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.02.010

zbMATH Keywords

solvable groupsirreducible character degreesdiametersgraphs related to character degrees

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 (7)

Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices ⋮ Bounding graph diameters of nonsolvable groups. ⋮ Simple groups and strong covers. ⋮ Nonsolvable groups satisfying the one-prime hypothesis. ⋮ Disconnectedness and Diameters of Degree Graphs Associated with Normal Subgroups# ⋮ Character degree graphs and normal subgroups ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.

Cites Work

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• On the character degree graph of solvable groups. I: Three primes
• A graph associated with the \(\pi\)-character degrees of a group.
• Solvable groups whose degree graphs have two connected components
• A solvable group whose character degree graph has diameter $3$
• On the Number of Components of a Graph Related to Character Degrees
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3

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