Groups in which the hypercentral factor group is a T-group.

DOI10.1007/S11587-006-0012-ZzbMath1119.20023OpenAlexW2052274328MaRDI QIDQ996957

Hermann Heineken, James C. Beidleman

Publication date: 19 July 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-006-0012-z

zbMATH Keywords

formationshypercentersfinite supersolvable groupstransitive normalitysupersolvabilityFrattini subgroupmutually permutable productsT-groupsFitting coresnilpotent radicals

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

On the intersection of non-normal maximal subgroups of a finite group ⋮ On a class of finite solvable groups. ⋮ T-groups, polycyclic groups, and finite quotients. ⋮ On hypercentral factor groups from certain classes ⋮ Finite minimal non-\(\text{T}_1\)-groups.

Cites Work

• Permutable products of supersoluble groups.
• Mutually permutable subgroups and group classes.
• Group classes and mutually permutable products.
• Gruppen, in denen das Normalteilersein transitiv ist.
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• On the fitting core of a formation
• On a Class of p-Soluble 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 the supersolvability of finite groups
• On mutually permutable products of finite groups.

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