Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties

DOI10.22108/IJGT.2017.21214zbMath1446.20026OpenAlexW2600490253MaRDI QIDQ5124042

Giovanni Vincenzi, Ramón Esteban-Romero

Publication date: 17 September 2020

Full work available at URL: http://ijgt.ui.ac.ir/article_21214_1c787bab440f79b15c085edf354cc088.pdf

zbMATH Keywords

groupsubgroup embedding propertyT-groupFC\(^*\)-groupgroup without infinite simple sections

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Generalizations of solvable and nilpotent groups (20F19) Subnormal subgroups of abstract finite groups (20D35) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (2)

Finite groups with some weakly pronormal subgroups ⋮ Groups whose subgroups satisfy the weak subnormalizer condition

Uses Software

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Cites Work

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• Unsolved Problems in Group Theory. The Kourovka Notebook
• ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION
• On finite T-groups and the Wielandt subgroup
• On the Wielandt subgroup of generalized FC-groups
• PRONORMALITY IN GENERALIZEDFC-GROUPS
• Gruppen, in denen das Normalteilersein transitiv ist.
• Some Sylow subgroups
• ON GROUPS WHICH CONTAIN NO HNN-EXTENSIONS
• On finiteJ-groups
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• On finite solvable groups in which normality is a transitive relation
• A characterization of soluble groups in which normality is a transitive relation
• Finite groups with NE-subgroups
• Groups in which normality is a weakly transitive relation
• Finite Groups with Pro-Normal Subgroups
• Pronormality in Finite Groups
• Endliche Gruppen I

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