The structure of finite groups in which permutability is a transitive relation

DOI10.1017/S1446788700002573zbMath0997.20027MaRDI QIDQ2726684

Derek J. S. Robinson

Publication date: 13 August 2002

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

zbMATH Keywords

subnormal subgroupschief factorspermutable subgroupsfinite insoluble PT-groups

Mathematics Subject Classification ID

Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (39)

On quasi \(S\)-propermutable subgroups of finite groups ⋮ On Quasisupersoluble and p-Quasisupersoluble Finite Groups ⋮ Totally permutable products of certain classes of finite groups. ⋮ Finite widely \(c\)-supersoluble groups and their mutually permutable products ⋮ Unnamed Item ⋮ On some results in the theory of finite partially soluble groups ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Sylow permutability in soluble minimax groups ⋮ Some new characterizations of PST-groups. ⋮ \(FC\)-groups with few subnormal non-normal subgroups ⋮ Unnamed Item ⋮ Finite groups in which modularity is a transitive relation ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ A Robinson description of finite \(P\sigma T\)-groups ⋮ Characterizations of some classes of finite σ -soluble PσT -groups ⋮ A characterization of finite \(\sigma\)-soluble \(P \sigma T\)-groups ⋮ A class of generalised finite \(T\)-groups. ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Some classes of finite groups and mutually permutable products. ⋮ Finite groups with normally embedded subgroups ⋮ A GENERALISATION OF FINITEPT-GROUPS ⋮ Conditional permutability of subgroups and certain classes of groups ⋮ G-covering subgroup systems for the classes of finite soluble PST-groups ⋮ Sylow permutability in generalized soluble groups ⋮ Finite Groups Whose Cyclic Subnormal Subgroups Are Permutable ⋮ Group classes and mutually permutable products. ⋮ Recognizing simple \(K_4\)-groups by few special conjugacy class sizes ⋮ Pairwise -connected Products of Certain Classes of Finite Groups ⋮ Finite groups with modular \(\sigma\)-subnormal subgroups ⋮ A Local Approach to Certain Classes of Finite Groups ⋮ \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups ⋮ On some classes of finite quasi-ℱ-groups ⋮ On mutually permutable products of finite groups. ⋮ On some arithmetic properties of nite groups ⋮ Corrigendum. A note on finite -groups ⋮ On pairwise mutually permutable products ⋮ On factorizations of finite groups with ℱ-hypercentral intersections of the factors ⋮ A note on finite 𝒫𝒮𝒯-groups ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.

Cites Work

• Unnamed Item
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroup lattices of groups
• Criteria for permutability to be transitive in finite groups
• Über den Normalisator von subnormalen und erreichbaren Untergruppen
• Contributions to the theory of groups of finite order
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• A Note on Finite Groups in Which Normality is Transitive
• Finite Groups with Pro-Normal Subgroups

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