On hypercentral factor groups from certain classes

DOI10.1515/JGT.2008.031zbMATH Open1153.20020OpenAlexW1999723075MaRDI QIDQ3516780

Hermann Heineken, M. F. Ragland, J. C. Beidleman

Publication date: 11 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.031

zbMATH Keywords

transitive normalitypermutable subgroupsFrattini subgrouphypercenterFitting subgroupsubnormalitynilpotent residual

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• On finite soluble groups in which Sylow permutability is a transitive relation.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Groups in which the hypercentral factor group is a T-group.
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• Group classes and mutually permutable products.
• Sylow permutable subnormal subgroups of finite groups. II
• 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 Local Approach to Certain Classes of Finite Groups
• On finiteJ-groups
• Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups
• ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS
• On finite solvable groups in which normality is a transitive relation
• Generalizations of Groups in which Normality Is Transitive
• A Note on Finite Groups in Which Normality is Transitive
• On mutually permutable products of finite groups.
• Finite soluble groups with permutable subnormal subgroups

Related Items (4)

On the intersection of non-normal maximal subgroups of a finite group ⋮ T-groups, polycyclic groups, and finite quotients. ⋮ Finite minimal non-\(\text{T}_1\)-groups. ⋮ Extensions with overlap.

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