On the Taketa bound for normally monomial \(p\)-groups of maximal class.

DOI10.1016/j.jalgebra.2003.11.018zbMath1080.20008OpenAlexW2091876305MaRDI QIDQ1882888

Thomas Michael Keller, Dustin Ragan, Geoffrey T. Tims

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.11.018

zbMATH Keywords

finite \(p\)-groupsLie algebrasderived lengthslinear charactersfinite monomial groupsnumbers of irreducible character degreesTaketa theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (7)

CONJUGACY CLASS SIZES IN FINITE GROUPS ⋮ Methods and questions in character degrees of finite groups ⋮ Maximal class \(p\)-groups with large character degree gaps. ⋮ Character degrees of normally monomial \(p \)-groups of maximal class ⋮ Normally Serially Monomialp-Groups ⋮ ON THE TAKETA BOUND FOR NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS II ⋮ Normally monomial \(p\)-groups.

Cites Work

• Nilpotent groups with lower central factors of minimal ranks
• Character theory of finite groups
• Orbit sizes and character degrees, III
• SOME NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS AND LARGE DERIVED LENGTH
• Character degrees and derived length in p-groups
• Some classes of monomial groups
• ON p-GROUPS OF MAXIMAL CLASS I
• Endliche Gruppen I
• Sur les groupes nilpotents et les anneaux de Lie
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