Character degrees of simple groups

DOI10.1016/0021-8693(91)90148-2zbMath0736.20005OpenAlexW2016363265MaRDI QIDQ1176655

Michael J. J. Barry, Dean Alvis

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90148-2

zbMATH Keywords

alternating groupscovering numbercovering setsirreducible character degreenon abelian simple groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representations of sporadic groups (20C34) Representations of finite groups of Lie type (20C33)

Related Items

Simple groups and strong covers., Conjugacy class lengths of metanilpotent groups, Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups, On covering number of groups with trivial Fitting subgroup, Methods and questions in character degrees of finite groups, Prime divisors of irreducible character degrees., An overview of graphs associated with character degrees and conjugacy class sizes in finite groups., On Huppert's rho-sigma conjecture, On a conjecture of Alvis., A note on Huppert's ρ – σ conjecture: An improvement on a result by Casolo and Dolfi

Cites Work

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• The representation theory of the symmetric groups
• Primes Dividing Character Degrees and Character Orbit Sizes
• On the Number of Components of a Graph Related to Character Degrees