On Hua-Tuan's conjecture. II.

DOI10.1007/S11425-010-4136-YzbMath1223.20010OpenAlexW2056200404WikidataQ122977724 ScholiaQ122977724MaRDI QIDQ547334

Qinhai Zhang, Hai Peng Qu

Publication date: 1 July 2011

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

Full work available at URL: https://doi.org/10.1007/s11425-010-4136-y

zbMATH Keywords

finite \(p\)-groupsnumbers of subgroups\(p\)-groups of maximal classenumerations of subgroupsHua-Tuan conjectureMagma package

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

Finite \(p\)-groups with few non-major \(k\)-maximal subgroups ⋮ A note on an “Anzahl” theorem of P. Hall ⋮ Finite 2-groups whose number of subgroups of each order are at most \(2^4\) ⋮ Some unsolvable conjectures in finite \(p\)-groups

Uses Software

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Cites Work

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• Finite \(p\)-groups in which the number of subgroups of possible order is less than or equal to \(p^3\).
• A classification of some regular \(p\)-groups and its applications.
• Groups of prime power order. Vol. 1.
• On Hua-Tuan's conjecture.
• The Magma algebra system. I: The user language
• Generalizations of Certain Elementary Theorems on p -Groups
• On the Number of Subgroups of Given Order in a Finite p-Group of Exponent p
• Endliche Gruppen I

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