Positions of characters in finite groups and the Taketa inequality

DOI10.1080/00927872.2016.1233199zbMath1377.20006arXiv1311.1383OpenAlexW2963710998MaRDI QIDQ5274833

Tobias Kildetoft

Publication date: 6 July 2017

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

Full work available at URL: https://arxiv.org/abs/1311.1383

zbMATH Keywords

character degreessolvable groupsderived length

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) Series and lattices of subgroups (20D30)

Cites Work

• Unnamed Item
• Irreducible character degrees and normal subgroups
• Normal subgroups of M-groups need not be M-groups
• Bounding the Derived Length of a Solvable Group: An Improvement on a Result by Gluck
• Derived lengths of solvable groups having five irreducible character degrees. I.

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