Counting Subgroups in a Direct Product of Finite Cyclic Groups

DOI10.4169/college.math.j.42.3.215zbMath1272.97033OpenAlexW20735420WikidataQ99703944 ScholiaQ99703944MaRDI QIDQ3003339

Joseph Petrillo

Publication date: 26 May 2011

Published in: The College Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/college.math.j.42.3.215

zbMATH Keywords

cyclic groupsfundamental theorem of finite abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Finite abelian groups (20K01) Products of subgroups of abstract finite groups (20D40) Groups, rings, fields (educational aspects) (97H40)

Related Items (5)

ON THE AVERAGE NUMBER OF SUBGROUPS OF THE GROUP ℤ_m × ℤ_n ⋮ On the average number of cyclic subgroups of the groups \(\mathbb Z_{n_1} \times\mathbb Z_{n_2}\times \mathbb Z_{n_3}\) with \(n_1,n_2,n_3\le x\) ⋮ 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 ⋮ Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\)

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