On Solvability of Groups with a Few Non-cyclic Subgroups

DOI10.1142/S1005386716000134zbMath1337.20026MaRDI QIDQ2796968

Mohammad Zarrin

Publication date: 30 March 2016

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

finite groupssolvabilitynumbers of non-cyclic subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (3)

Finite groups with three nonabelian subgroups ⋮ On the commutative ring extensions with at most two non Prüfer intermediate rings ⋮ Finite groups with a unique non-abelian proper subgroup

Cites Work

• Insoluble groups with the rewriting property \(P_ 8\)
• Minimal nicht überauflösbare, endliche Gruppen
• Finite groups with few non-cyclic subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable

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