Nilpotent subgroups of finite soluble groups

DOI10.1007/BF01200083zbMath0752.20007OpenAlexW1999403777MaRDI QIDQ5905401

Hermann Heineken

Publication date: 25 June 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200083

zbMATH Keywords

finite soluble groupsformationFitting subgroupnilpotent injectororders of nilpotent subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07)

Related Items

Upper bounds for the number of conjugacy classes of a finite group ⋮ Nilpotent subgroups of class 2 in finite groups ⋮ On a result of nilpotent subgroups of solvable groups ⋮ Abelian sections of the symmetric groups with respect to their index

Cites Work

• Solvable groups contain large centralizers
• A polynomial bound for the orders of primitive solvable groups
• On products of two nilpotent subgroups of a finite group
• The Fitting subgroup of a linear solvable group