Irreducible character degree sets of solvable groups

DOI10.1006/jabr.1998.7424zbMath0911.20009OpenAlexW1989962534MaRDI QIDQ1270406

Mark L. Lewis

Publication date: 4 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7424

zbMATH Keywords

finite groupsFrobenius groupssolvable groupscharacteristic subgroupsirreducible character degree sets

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 (5)

The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis. ⋮ DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. II ⋮ Bounding Fitting heights of character degree graphs ⋮ Bipartite divisor graph for the set of irreducible character degrees ⋮ Recognizing direct products from their conjugate type vectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degree-problems. I: Squarefree character degrees
• Determining group structure from sets of irreducible character degrees
• Solvable groups having almost relatively prime distinct irreducible character degrees
• Groups having three complex irreducible character degrees
• Nonabelian Fully-Ramified Sections
• Derived lengths of solvable groups satisfying the one-prime hypothesis
• Endliche Gruppen I

This page was built for publication: Irreducible character degree sets of solvable groups