Finite \(p\)-groups with few non-major \(k\)-maximal subgroups

DOI10.1007/s11401-018-1051-yzbMath1380.20021OpenAlexW2782474586MaRDI QIDQ1696639

Boyan Wei, Yan-Feng Luo, Hai Peng Qu

Publication date: 14 February 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1051-y

zbMATH Keywords

finite \(p\)-groupsFrattini subgroup\(k\)-major subgroups\(k\)-maximal subgroupsnumber of non-major \(k\)-maximal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (1)

A note on an “Anzahl” theorem of P. Hall

Cites Work

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• Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal.
• On Hua-Tuan's conjecture. II.
• Finite \(p\)-groups in which the number of subgroups of possible order is less than or equal to \(p^3\).
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• On Hua-Tuan's conjecture.
• Über die Anzahl der eigentlichen Untergruppen und der Elemente von gegebener Ordnung in \(p\)-Gruppen
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• The groups with order \(p^7\) for odd prime \(p\).
• On the Number of Subgroups of Given Order in a Finite p-Group of Exponent p
• A Contribution to the Theory of Groups of Prime-Power Order
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• A Characterization of Metacyclic p-Groups by Counting Subgroups
• Second-metacyclic finite 2-groups

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