Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group

DOI10.1007/BF01140917zbMath0528.20010MaRDI QIDQ786909

E. G. Bryukhanova

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsSylow subgroups\(p\)-lengthderived lengthnilpotent heightproducts of nilpotent subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

On the Fitting series of the product of two finite nilpotent groups ⋮ Kernels of \(p'\)-degree irreducible characters ⋮ FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK ⋮ Finite soluble groups with supersoluble Sylow normalizers ⋮ Unnamed Item ⋮ A characterization of periodic locally solvable groups whose Sylow subgroups are solvable or have finite exponent ⋮ On finite soluble groups of fixed rank. ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ Nonsoluble and non-\(p\)-soluble length of finite groups. ⋮ Finite groups ⋮ Large orbits of \(p\)-groups on characters and applications to character degrees.

Cites Work

• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• 2-Length and the Derived Length of a Sylow 2-Subgroup
• Endliche Gruppen I
• Unnamed Item

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