A Note on Finite Groups in Which Normality is Transitive

DOI10.2307/2035343zbMath0159.31002OpenAlexW4238079356MaRDI QIDQ5542820

Derek J. S. Robinson

Publication date: 1968

Full work available at URL: https://doi.org/10.2307/2035343

zbMATH Keywords

group theory

Related Items (42)

On finite T-groups and the Wielandt subgroup ⋮ Finite groups with ℋ-subgroups or strongly closed subgroups ⋮ Finite groups in which permutability is a transitive relation on their Frattini factor groups. ⋮ Subgroups like Wielandt's in finite soluble groups ⋮ On two classes of generalised finite T-groups ⋮ Sylow permutability in locally finite groups. ⋮ On the strongly closed subgroups or \(\mathcal H\)-subgroups of finite groups. ⋮ On \(T\)-groups, supersolvable groups, and maximal subgroups. ⋮ Unnamed Item ⋮ Finite groups in which \(\tau\)-quasinormality is a transitive relation. ⋮ Wielandt subgroups of certain finite groups ⋮ On hypercentral factor groups from certain classes ⋮ Unnamed Item ⋮ Determination of finite \(T_ 2-\)groups ⋮ Finite groups in which subnormalizers are subgroups ⋮ Algorithms for permutability in finite groups. ⋮ A class of generalised finite \(T\)-groups. ⋮ Unnamed Item ⋮ Subnormal, permutable, and embedded subgroups in finite groups. ⋮ Some new characterizations of solvable PST-groups. ⋮ Criteria for permutability to be transitive in finite groups ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Some classes of finite groups and mutually permutable products. ⋮ The structure of finite groups in which permutability is a transitive relation ⋮ Finite minimal non-\(\text{T}_1\)-groups. ⋮ Extensions with overlap. ⋮ Finite groups ⋮ Finite soluble groups with permutable subnormal subgroups ⋮ Some characterizations of finite groups in which semipermutability is a transitive relation ⋮ Sylow permutable subnormal subgroups of finite groups II ⋮ Groups Whose Homomorphic Images Have a Transitive Normality Relation ⋮ Solvable PST-groups, strong Sylow bases and mutually permutable products. ⋮ On finiteJ-groups ⋮ Finite groups with NE-subgroups ⋮ Unnamed Item ⋮ On self-normalizing subgroups of finite groups ⋮ Minimality and locally defined classes of groups. ⋮ Subgroups in T-groups ⋮ Groups whose subgroups satisfy the weak subnormalizer condition ⋮ Sylow permutable subnormal subgroups of finite groups ⋮ Permutation-like matrix groups with a maximal cycle of power of odd prime length ⋮ Groups whose non-normal subgroups have a transitive normality relation

Cites Work

• Unnamed Item
• On the norm of a group
• \(p\)-normality and \(p\)-length of a finite group
• Gruppen, in denen das Normalteilersein transitiv ist.
• On a Splitting Theorem of Gaschütz

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