On Hua-Tuan's conjecture.

DOI10.1007/S11425-009-0020-ZzbMath1181.20019OpenAlexW2067214616WikidataQ123165421 ScholiaQ123165421MaRDI QIDQ1042882

Qinhai Zhang, Hai Peng Qu

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0020-z

zbMATH Keywords

finite \(p\)-groupsmetacyclic \(p\)-groupsnumbers of subgroupsextraspecial \(p\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

Finite \(p\)-groups in which the number of subgroups of possible order is less than or equal to \(p^3\). ⋮ Finite \(p\)-groups with few non-major \(k\)-maximal subgroups ⋮ A note on an “Anzahl” theorem of P. Hall ⋮ On Hua-Tuan's conjecture. II. ⋮ Finite 2-groups whose number of subgroups of each order are at most \(2^4\) ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

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• 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 the Number of Subgroups of Given Order in a Finite p-Group of Exponent p
• Endliche Gruppen I

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