Four-vertex degree graphs of nonsolvable groups.

DOI10.1016/J.JALGEBRA.2012.12.005zbMath1278.20003OpenAlexW1987902996MaRDI QIDQ373854

Mark L. Lewis, Donald L. White

Publication date: 25 October 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869312006199

zbMATH Keywords

finite groupsirreducible characterscharacter degreescharacter degree graphsfinite nonsolvable groups

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) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (15)

Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices ⋮ Graphs of nonsolvable groups with four degree-vertices. ⋮ Finite groups whose prime graphs are regular. ⋮ 5-regular prime graphs of finite nonsolvable groups ⋮ Unnamed Item ⋮ Five-vertex degree graphs of nonsolvable groups ⋮ Prime graphs of finite groups with a small number of triangles. ⋮ Five-vertex common divisor character degree graphs of non-solvable groups ⋮ $4$-Regular prime graphs of nonsolvable groups ⋮ Bipartite divisor graph for the set of irreducible character degrees ⋮ On nonsolvable groups whose prime degree graphs have four vertices and one triangle ⋮ K₄-free character graphs with seven vertices ⋮ Groups whose bipartite divisor graph for character degrees has four or fewer vertices ⋮ Regular character-graphs whose eigenvalues are greater than or equal to \(-2\) ⋮ Unnamed Item

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