Diameters of degree graphs of nonsolvable groups.

DOI10.1016/j.jalgebra.2004.08.025zbMath1100.20014OpenAlexW1972380803MaRDI QIDQ1770488

Donald L. White, Mark L. Lewis

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.025

zbMATH Keywords

irreducible complex charactersdiameterscharacter degree graphsfirst Janko group

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 sporadic groups (20C34)

Related Items

Diameters of degree graphs of nonsolvable groups. II. ⋮ Bounding graph diameters of nonsolvable groups. ⋮ Nonsolvable groups satisfying the one-prime hypothesis. ⋮ Groups whose degree graph has three independent vertices ⋮ Characterization of some simple groups by the multiplicity pattern. ⋮ Disconnectedness and Diameters of Degree Graphs Associated with Normal Subgroups# ⋮ Disconnected character graphs and odd dominating sets ⋮ Degree graphs of simple orthogonal and symplectic groups. ⋮ $4$-Regular prime graphs of nonsolvable groups ⋮ Degree graphs of simple groups. ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Degree Graphs of Simple Linear and Unitary Groups ⋮ 1-Connected character-graphs of finite groups with non-bipartite complement ⋮ On the character degree graph of finite groups ⋮ On a conjecture of Alvis.

Cites Work

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• On blocks of twisted group algebras
• Connectedness of degree graphs of nonsolvable groups.
• The characters of the finite symplectic group Sp(4,q), q=2\(^f\)
• Degree Graphs of Simple Groups of Exceptional Lie Type
• On the Number of Components of a Graph Related to Character Degrees
• The Characters of the Finite Symplectic Group Sp(4,q)
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)