Characterization of finite groups with a unique non-nilpotent proper subgroup

DOI10.22108/IJGT.2019.116209.1543zbMath1491.20040OpenAlexW2972185939MaRDI QIDQ5854502

Bijan Taeri, Fatemeh Tayanloo-Beyg

Publication date: 17 March 2021

Full work available at URL: https://doaj.org/article/2217444d91b84d82b1163eeca028c4f5

zbMATH Keywords

finite groupscritical groupsminimal non-nilpotent groupsminimal non-abelian groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Finite groups with three nonabelian subgroups

Cites Work

• Unnamed Item
• On minimal non-supersoluble groups.
• The theory of finite groups. An introduction.
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Minimal non-nilpotent groups which are supersolvable
• Finite groups with a unique non-abelian proper subgroup
• The Influence on a Finite Group of Its Proper Abnormal Structure

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