THE CHARACTER GRAPH OF A FINITE GROUP IS PERFECT

DOI10.1017/S0004972720001240MaRDI QIDQ4999619

Mahdi Ebrahimi

Publication date: 7 July 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13292

zbMATH Keywords

perfect graphcharacter degreecharacter graph

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Perfect graphs (05C17)

Related Items (2)

Unnamed Item ⋮ Regular character-graphs whose eigenvalues are greater than or equal to \(-2\)

Cites Work

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• The strong perfect graph theorem
• 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
• On the character degree graph of finite groups
• Normal \(p\)-complements and irreducible characters
• A characterization of perfect graphs
• On the character degree graph of solvable groups
• Prime divisors of character degrees
• On the Number of Components of a Graph Related to Character Degrees
• On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups
• Degree Graphs of Simple Linear and Unitary Groups

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