Prime Divisibility Among Degrees of Solvable Groups

DOI10.1081/AGB-120039553zbMath1077.20009OpenAlexW1990211264MaRDI QIDQ3158321

John K. McVey

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120039553

zbMATH Keywords

solvable groupsirreducible character degreesarithmetic of 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 (9)

A direct product coming from a particular set of character degrees ⋮ Nonsolvable groups with no prime dividing four character degrees ⋮ Computing character degrees via a Galois connection ⋮ Nonsolvable groups satisfying the one-prime hypothesis. ⋮ Nonsolvable groups with no prime dividing three character degrees. ⋮ Determining group structure from the sets of character degrees. ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Finite Groups Whose Common-Divisor Graph is Regular ⋮ Almost simple groups with no product of two primes dividing three character degrees

Uses Software

• DIANE

Cites Work

• Unnamed Item
• Irreducible character degrees and normal subgroups
• DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. II
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• Coprimeness among irreducible character degrees of finite solvable groups
• Derived lengths of solvable groups having five irreducible character degrees. I.

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