Finite nonsolvable groups whose character graphs have no triangles.

DOI10.1016/j.jalgebra.2010.01.019zbMath1207.20005OpenAlexW2019439690MaRDI QIDQ965203

Xueling Song, Yanjun Liu, Tian Ze Li

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.01.019

zbMATH Keywords

degrees of irreducible charactersconnected componentsfinite groupsirreducible complex charactersalternating group \(A_5\)character graphs

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items (3)

Groups which do not have four irreducible characters of degrees divisible by a prime \(p\) ⋮ Nonsolvable groups with no prime dividing three character degrees. ⋮ Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles

Uses Software

• CHEVIE

Cites Work

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