Finite groups with a unique non-abelian proper subgroup

DOI10.1142/S0219498819502104zbMath1480.20051OpenAlexW2902584338WikidataQ128857855 ScholiaQ128857855MaRDI QIDQ5235385

Bijan Taeri, Fatemeh Tayanloo-Beyg

Publication date: 10 October 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819502104

zbMATH Keywords

finite groupscritical 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 (2)

Characterization of finite groups with a unique non-nilpotent proper subgroup ⋮ Finite groups with three nonabelian subgroups

Cites Work

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• Some sufficient conditions on the number of non-Abelian subgroups of a finite group to be solvable.
• Groups of prime power order. Vol. 1.
• On minimal non-supersoluble groups.
• Finite soluble groups
• Finite groups with a cyclic maximal subgroup
• The theory of finite groups. An introduction.
• A generalization of Schmidt's theorem on groups with all subgroups nilpotent.
• Finite groups with a given set of Shmidt subgroups
• 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
• On Solvability of Groups with a Few Non-cyclic Subgroups
• Non-nilpotent subgroups of locally graded groups
• Minimal non-nilpotent groups which are supersolvable
• Finite groups with subnormal Schmidt subgroups
• The Influence on a Finite Group of Its Proper Abnormal Structure
• Note on $(LM)$-groups of finite orders

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