Fitting classes and products of totally permutable groups

DOI10.1016/S0021-8693(02)00012-1zbMath1014.20010MaRDI QIDQ1849093

Peter Hauck, María Dolores Pérez-Ramos, Ana Martínez-Pastor

Publication date: 28 November 2002

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

zbMATH Keywords

finite groupsFitting classesFitting formationstotally permutable products of subgroupsFischer classesfinite supersoluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Products of subgroups of abstract finite groups (20D40)

Related Items (13)

Totally permutable products of certain classes of finite groups. ⋮ Weakly totally permutable products and Fitting classes ⋮ Some criteria for supersolubility in products of finite groups ⋮ On 2-generated subgroups and products of groups ⋮ On conditional permutability and saturated formations ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ On a generalisation of totally permutable products of finite groups. ⋮ On finite products of groups and supersolubility. ⋮ Injectors and Radicals in Products of Totally Permutable Groups ⋮ Radicals in mutually permutable products of finite groups. ⋮ On conditional permutability and factorized groups. ⋮ On Supersolubility of Some Finite Factorizable Groups ⋮ Finite minimal non-supersolvable groups decomposable into the product of two normal supersolvable subgroups.

Cites Work

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• Finite soluble groups
• A question of R. Maier concerning formations
• Finite groups which are products of pairwise totally permutable subgroups
• Totally permutable torsion subgroups
• Endliche Gruppen I
• On the supersolvability of finite groups

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