Sylow permutable subnormal subgroups of finite groups II

DOI10.1017/S0004972700019948zbMath0999.20012MaRDI QIDQ2777723

Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 5 May 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupssoluble groupspermutability conditions\(\text{PST}_p\)-groupssubnormal \(p'\)-perfect 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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (26)

On some classes of supersoluble groups. ⋮ On finite minimal non-nilpotent groups ⋮ Finite groups with some \(NR\)-subgroups or \(\mathcal H\)-subgroups. ⋮ Finite groups in which SS-permutability is a transitive relation. ⋮ Some permutability properties related to \(\mathfrak F\)-hypercentrally embedded subgroups of finite groups ⋮ Unnamed Item ⋮ Finite groups in which \(\tau\)-quasinormality is a transitive relation. ⋮ On hypercentral factor groups from certain classes ⋮ Algorithms for permutability in finite groups. ⋮ Subnormal, permutable, and embedded subgroups in finite groups. ⋮ Some new characterizations of solvable PST-groups. ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Some classes of finite groups and mutually permutable products. ⋮ Extensions with overlap. ⋮ Generalizations of Groups in which Normality Is Transitive ⋮ Some characterizations of finite groups in which semipermutability is a transitive relation ⋮ Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation. ⋮ Pairwise -connected Products of Certain Classes of Finite Groups ⋮ On a Class of p-Soluble Groups ⋮ A Local Approach to Certain Classes of Finite Groups ⋮ On sublattices of the subgroup lattice defined by formation Fitting sets ⋮ ON A LATTICE CHARACTERISATION OF FINITE SOLUBLE PST-GROUPS ⋮ Solvable PST-groups, strong Sylow bases and mutually permutable products. ⋮ Finite groups with subgroups supersoluble or subnormal. ⋮ On self-normalizing subgroups of finite groups ⋮ Sylow permutable subnormal subgroups of finite groups

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• On finite soluble groups which behave like nilpotent groups with respect to the Frattini group
• Criteria for permutability to be transitive in finite groups
• The Wielandt Subgroup of a Finite Soluble Group
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• A Note on Finite Groups in Which Normality is Transitive
• Finite soluble groups with permutable subnormal subgroups

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