Characters and derived length in groups of odd order

DOI10.1016/0021-8693(76)90070-3zbMath0362.20012OpenAlexW1982022410MaRDI QIDQ1239799

T. R. Berger

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90070-3

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items

Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers) ⋮ Character correspondences, degrees, and derived length in solvable groups ⋮ On the asymptotic Taketa bound for A-groups ⋮ Irreducible character degrees and normal subgroups ⋮ Taketa's theorem for some character degree sets. ⋮ Fitting heights of odd-order groups with few character degrees ⋮ Character degrees and derived length in p-groups ⋮ Computing conjugacy classes of elements in matrix groups. ⋮ Some sufficient conditions for the Taketa inequality. ⋮ Complete rank theorem of advanced calculus and singularities of bounded linear operators ⋮ Character degrees of \(p\)-groups and pro-\(p\) groups. ⋮ Isaacs–Seitz conjecture for certain groups ⋮ Taketa’s inequality and finite groups with a normal Hall subgroup ⋮ Hall-Higman Type Theorems. II ⋮ Charaktergrade und die Kommutatorlänge in auflösbaren Gruppen. (Character degrees and the derived length in soluble groups) ⋮ Real characters, monolithic characters and the Taketa inequality ⋮ A NOTE ON DERIVED LENGTH AND CHARACTER DEGREES

Cites Work

• Unnamed Item
• p-solvable doubly transitive permutation groups
• Hall-Higman Type Theorems. II
• Character Degrees and Derived Length of a Solvable Group
• Endliche Gruppen I