AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3

DOI10.4134/CKMS.2013.28.4.649zbMath1283.20061OpenAlexW2030368263MaRDI QIDQ2868478

Ju-Mok Oh

Publication date: 17 December 2013

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/ckms.2013.28.4.649

zbMATH Keywords

enumerationsfinite Abelian groupssubgroup latticesnumbers of subgroups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite abelian groups (20K01) Subgroups of abelian groups (20K27)

Related Items (6)

Counting subgroups of fixed order in finite abelian groups ⋮ Unnamed Item ⋮ The number of subgroups of finite abelian p-groups of rank 4 and higher ⋮ On the number of subgroups of non-metacyclic minimal non-abelian p-groups ⋮ On the number of subgroups of a given exponent in a finite abelian group ⋮ A connection between the number of subgroups and the order of a finite group

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