A Characterization of Metacyclic p-Groups by Counting Subgroups

DOI10.1142/9789814366311_0058zbMath1263.20019OpenAlexW2312325026MaRDI QIDQ4909917

Qinhai Zhang

Publication date: 22 March 2013

Published in: Proceedings of the International Conference on Algebra 2010 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814366311_0058

zbMATH Keywords

finite \(p\)-groupsmetacyclic \(p\)-groupsnumbers of subgroupsregular \(p\)-groupsnumbers of normal subgroupscounting subgroups

Mathematics Subject Classification ID

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

Related Items (3)

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 \(2^4\)

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