On conditional permutability and factorized groups.

DOI10.1007/s10231-012-0319-1zbMath1321.20019OpenAlexW2063630538MaRDI QIDQ741300

Ana Martínez-Pastor, Paz Arroyo-Jordá, María Dolores Pérez-Ramos, Milagros Arroyo-Jordá

Publication date: 11 September 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/61370

zbMATH Keywords

finite groupsproducts of subgroupssaturated formationsconditional permutabilitycompletely conditionally permutable subgroups

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 (6)

On numerical invariants of a finite group factorized by tcc-subgroups ⋮ On the \(p\)-length of a finite group with conditionally permutable factors ⋮ Zeros of irreducible characters in factorised groups ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ On a product of two formational tcc-subgroups ⋮ On the supersolubility of a group with some tcc-subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products of finite groups.
• On finite products of groups and supersolubility.
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Finite soluble groups
• Maximal subgroups and automorphisms of Chevalley groups
• A criterion for subnormality and Wielandt complexes in finite groups
• Fitting classes and products of totally permutable groups
• A question of R. Maier concerning formations
• Mutually permutable subgroups and group classes.
• On conditional permutability and saturated formations
• A Completeness Property of certain Formations
• Products of Finite Supersoluble Groups
• The Finite Simple Groups
• The local structure of finite groups of characteristic 2 type
• Finite groups which are products of pairwise totally permutable subgroups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• On finite products of totally permutable groups
• Injectors and Radicals in Products of Totally Permutable Groups
• Totally permutable torsion subgroups
• PRODUCTS OF PAIRWISE TOTALLY PERMUTABLE GROUPS
• A note on the product of F-subgroups in a finite group
• Classes of Finite Groups
• Endliche Gruppen I
• On the supersolvability of finite groups
• Some criteria for supersolubility in products of finite groups

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