Character degree graphs of automorphism groups of characteristically simple groups

DOI10.1515/JGT.2008.083zbMath1180.20005MaRDI QIDQ3631807

John K. McVey, Mark L. Lewis

Publication date: 22 June 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsautomorphism groupscomplete graphscharacter degreesdegree 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) Representations of finite groups of Lie type (20C33)

Related Items (10)

Groups whose degree graph has three independent vertices ⋮ Finite groups whose prime graphs are regular. ⋮ 5-regular prime graphs of finite nonsolvable groups ⋮ Finite groups with K₅-free prime graphs ⋮ Prime graphs of finite groups with a small number of triangles. ⋮ $4$-Regular prime graphs of nonsolvable groups ⋮ Recognition of the simple groups $PSL_2(q)$ by character degree graph and order ⋮ Some solvable character degree sets ⋮ Regular character-graphs whose eigenvalues are greater than or equal to \(-2\) ⋮ Finite groups with \(K_4\)-free prime graphs.

Cites Work

• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• The \(p\)-length of a solvable group bounded by conditions on its character degree graph
• Prime divisors of character degrees

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