On the Fitting series of the product of two finite nilpotent groups

zbMath0811.20021MaRDI QIDQ1332510

Gemma Parmeggiani

Publication date: 20 April 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__91__273_0

zbMATH Keywords

finite groupsderived lengthnormal subgroupFitting subgroupfactorized groupsFitting seriesFitting lengthproduct 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On finite groups factorized by σ-nilpotent subgroups ⋮ On locally finite groups factorized by locally nilpotent subgroups ⋮ On some products of nilpotent groups

Cites Work

• Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group
• Finite groups of period \(p^\alpha q^beta\)
• The 2-length and 2-period of a finite solvable group
• On the Fitting length of a soluble product of nilpotent groups
• The product of two finite nilpotent groups and its Fitting series
• On finite groups of exponent \(p^ m q^ n\)
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Endliche Gruppen I
• Finite groups which are the product of two nilpotent subgroups
• On products of nilpotent groups

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