Lower Bounds on the Number of Cyclic Subgroups in Finite Non-Cyclic Nilpotent Groups

DOI10.4208/JMS.V56N1.23.03OpenAlexW4310189410MaRDI QIDQ5882294

Wei Meng, Jiakuan Lu

Publication date: 15 March 2023

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v56n1.23.03

zbMATH Keywords

nilpotent groupscyclic subgroups\(p\)-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Cites Work

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• Addendum to “Finite groups with a prescribed number of cyclic subgroups”
• Über die Struktur zerfallender bizyklischer p-Gruppen.
• Endliche Gruppen I
• Finite groups with a prescribed number of cyclic subgroups
• Finite non-cyclic nilpotent group whose number of subgroups is minimal

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