Groups in which Sylow subgroups and subnormal subgroups permute.
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Publication:1409595
zbMath1033.20019MaRDI QIDQ1409595
Hermann Heineken, James C. Beidleman, Adolfo Ballester-Bolinches
Publication date: 16 October 2003
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
finite groupsSylow subgroupssubnormal subgroupschief factorsPST-groupshypercentrally embedded subgroups
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Generalizations of solvable and nilpotent groups (20F19) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)
Related Items (20)
Characterizations of \(\sigma \)-solvable finite groups ⋮ Totally permutable products of certain classes of finite groups. ⋮ Lattice characterizations of finite supersoluble groups ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ A generalization of \(\sigma\)-permutability ⋮ Some new characterizations of PST-groups. ⋮ 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 ⋮ Algorithms for permutability in finite groups. ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Some classes of finite groups and mutually permutable products. ⋮ G-covering subgroup systems for the classes of finite soluble PST-groups ⋮ Finite minimal non-\(\text{T}_1\)-groups. ⋮ Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation. ⋮ \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups ⋮ On some arithmetic properties of nite groups ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
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