On the commutator and the center of finite groups.

DOI10.1016/j.jalgebra.2004.03.021zbMath1060.20018OpenAlexW2071854469MaRDI QIDQ1882982

Arieh Lev, Gil Kaplan, Marcel Herzog

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.2004.03.021

zbMATH Keywords

centerssolvable groupsFrattini subgroupnumerical estimatesFitting subgroupmetanilpotent groupsderived 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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (6)

On the size of the nilpotent residual in finite groups ⋮ A note on the size of the nilpotent residual in finite groups. ⋮ The size of the commutator subgroup of finite groups. ⋮ Bounds in groups with trivial Frattini subgroup. ⋮ Unnamed Item ⋮ On residuals of finite groups

Cites Work

• Products of finite nilpotent groups
• Intersections of nilpotent Hall subgroups
• Large cyclic subgroups contain non-trivial normal subgroups
• Large orbits in actions of nilpotent groups
• Group Elements of Prime Power Index
• Unnamed Item
• Unnamed Item
• Unnamed Item

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