On the asymptotic Taketa bound for A-groups

DOI10.1006/jabr.1996.6893zbMath0887.20007OpenAlexW1995077102MaRDI QIDQ1357553

Thomas Michael Keller

Publication date: 19 March 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6893

zbMATH Keywords

irreducible charactersSylow subgroupscharacter degreessolvable groupsderived lengthsA-groups

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

New bounds for numbers of primes in element orders of finite groups

Cites Work

• Unnamed Item
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• Fitting height of groups and of fixed points
• Large cyclic subgroups of finite groups
• Characters and derived length in groups of odd order
• On the asymptotic behaviour of \(\rho(n)\)
• Bounding the Number of Character Degrees of a Solvable Group
• Endliche Gruppen I