Solvable groups satisfying the two-prime hypothesis. I.

DOI10.1007/S10468-006-9032-3zbMath1120.20008OpenAlexW4234591301MaRDI QIDQ882804

James Hamblin

Publication date: 24 May 2007

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-006-9032-3

zbMATH Keywords

finite groupsirreducible complex characterscharacter degreessolvable groups\(n\)-prime hypothesis

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (4)

Simple groups and the two-prime hypothesis ⋮ The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to \(\mathrm{PSL}_2(q)\) ⋮ Nonsolvable groups satisfying the prime-power hypothesis. ⋮ Solvable groups satisfying the two-prime hypothesis. II.

Cites Work

• Solvable groups having almost relatively prime distinct irreducible character degrees
• The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis.

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