Finite soluble groups with permutable subnormal subgroups

DOI10.1006/jabr.2001.8732zbMath0983.20014OpenAlexW1979723493MaRDI QIDQ5939573

Manuel J. Alejandre, Mari Carmen Pedraza-Aguilera, Adolfo Ballester-Bolinches

Publication date: 17 January 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8732

zbMATH Keywords

Hall subgroupsfinite soluble groupsSylow subgroupschief factorspermutable subnormal 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 (24)

On some classes of supersoluble groups. ⋮ Local characterizations of infinite groups whose ascendant subgroups are permutable ⋮ On periodic radical groups in which permutability is a transitive relation. ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Finite groups in which SS-permutability is a transitive relation. ⋮ Unnamed Item ⋮ On hypercentral factor groups from certain classes ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Some classes of finite groups and mutually permutable products. ⋮ ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS ⋮ Finite minimal non-\(\text{T}_1\)-groups. ⋮ Generalizations of Groups in which Normality Is Transitive ⋮ Sylow permutable subnormal subgroups of finite groups II ⋮ On a graph related to permutability in finite groups ⋮ Pairwise -connected Products of Certain Classes of Finite Groups ⋮ On a Class of p-Soluble Groups ⋮ Infinite groups with many permutable subgroups. ⋮ A Local Approach to Certain Classes of Finite Groups ⋮ Finite groups with subgroups supersoluble or subnormal. ⋮ Note on Direct Products of Certain Classes of Finite Groups ⋮ Corrigendum. A note on finite -groups ⋮ On self-normalizing subgroups of finite groups ⋮ A note on finite 𝒫𝒮𝒯-groups ⋮ Sylow permutable subnormal subgroups of finite groups

Cites Work

• Unnamed Item
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• Finite soluble groups
• Subgroups permutable with all Sylow subgroups
• On \(T^*\)-groups
• Criteria for permutability to be transitive in finite groups
• Gruppen, in denen das Normalteilersein transitiv ist.
• 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

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