Solvable groups having almost relatively prime distinct irreducible character degrees

DOI10.1006/jabr.1995.1124zbMath0833.20011OpenAlexW2037492649MaRDI QIDQ1895556

Mark L. Lewis

Publication date: 12 March 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1124

zbMATH Keywords

finite solvable groupsirreducible characterscharacter degrees

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 (13)

Nonsolvable groups satisfying the one-prime hypothesis. ⋮ The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. ⋮ Finite groups whose all irreducible character degrees are Hall-numbers. ⋮ Solvable groups satisfying the two-prime hypothesis. I. ⋮ Nonsolvable groups satisfying the prime-power hypothesis. ⋮ DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. II ⋮ Solvable groups satisfying the two-prime hypothesis. II. ⋮ One-prime power hypothesis for conjugacy class sizes ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Irreducible character degree sets of solvable groups ⋮ Determining group structure from sets of irreducible character degrees ⋮ Derived lengths of solvable groups satisfying the one-prime hypothesis

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