Classifying families of character degree graphs of solvable groups

DOI10.22108/IJGT.2018.110140.1473zbMath1443.20006arXiv1708.00119OpenAlexW2963504676MaRDI QIDQ5124338

Jacob Laubacher, Mark W. Bissler

Publication date: 18 September 2020

Full work available at URL: https://arxiv.org/abs/1708.00119

zbMATH Keywords

solvable groupsfamiliescharacter 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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

On prime character degree graphs occurring within a family of graphs (ii) ⋮ Classifying character degree graphs with six vertices ⋮ Regular character-graphs whose eigenvalues are greater than or equal to \(-2\) ⋮ On prime character degree graphs occurring within a family of graphs

Cites Work

• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On the character degree graph of solvable groups. I: Three primes
• Solvable groups whose degree graphs have two connected components
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• Endliche Gruppen I
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