ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS

DOI10.1080/16073606.1996.9631826zbMath0859.20017OpenAlexW2114708779MaRDI QIDQ4886285

Andrew Fransman, Robert W. van der Waall

Publication date: 4 February 1997

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1996.9631826

zbMATH Keywords

soluble groupssubnormal subgroupsdirect productscentral productsFrattini factor group\(T\)-groupsproducts of \(T_ 0\)-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

Groups satisfying the minimal condition on subgroups which are not transitively normal, ON A CLASS OF SUPERSOLUBLE GROUPS, Some results on products of finite groups, Finite groups with some \(NR\)-subgroups or \(\mathcal H\)-subgroups., Finite groups in which permutability is a transitive relation on their Frattini factor groups., On a class of finite solvable groups., T-groups, polycyclic groups, and finite quotients., On hypercentral factor groups from certain classes, PRIMITIVE SUBGROUPS AND PST-GROUPS, Generalizations of Groups in which Normality Is Transitive, On a Class of p-Soluble Groups, Groups in which the hypercentral factor group is a T-group., On the Φ-hypercentral subgroups of finite groups

Cites Work

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• Products of groups with finite rank
• Products of groups and group classes
• On finite products of nilpotent groups
• Gruppen, in denen das Normalteilersein transitiv ist.
• The Frattini Subgroups of Finitely Generated Groups
• Endliche Gruppen I