Finite non-cyclic nilpotent group whose number of subgroups is minimal

DOI10.1007/s11587-021-00584-2OpenAlexW3157813303MaRDI QIDQ6196243

Wei Meng, Jiakuan Lu

Publication date: 14 March 2024

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-021-00584-2

zbMATH Keywords

nilpotent groupsSylow subgroupssubgroup counting

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)

Related Items (1)

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

Cites Work

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• Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal.
• Finite non-cyclic \(p\)-groups whose number of subgroups is minimal
• On a conjecture by Haipeng Qu
• Endliche Gruppen I

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