A Local Approach to Certain Classes of Finite Groups

DOI10.1081/AGB-120024860zbMath1041.20013MaRDI QIDQ4435164

James C. Beidleman, Hermann Heineken, Adolfo Ballester-Bolinches

Publication date: 26 November 2003

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

zbMATH Keywords

transitive normalitypermutable subgroups

Mathematics Subject Classification ID

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

Related Items (16)

Totally permutable products of certain classes of finite groups. ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Finite groups in which SS-permutability is a transitive relation. ⋮ Some new characterizations of PST-groups. ⋮ Unnamed Item ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ On hypercentral factor groups from certain classes ⋮ 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 ⋮ Generalizations of Groups in which Normality Is Transitive ⋮ Pairwise -connected Products of Certain Classes of Finite Groups ⋮ \(G\)-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.

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• Contributions to the theory of groups of finite order
• The structure of finite groups in which permutability is a transitive relation
• Sylow permutable subnormal subgroups of finite groups II
• Gruppen, in denen das Normalteilersein transitiv ist.
• The Wielandt Subgroup of a Finite Soluble Group
• Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups
• Finite soluble groups with permutable subnormal subgroups

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