Subgroups of Finite Abelian Groups Having Rank Two via Goursat’s Lemma

DOI10.2478/TMMP-2014-0021zbMath1396.20061arXiv1312.1485OpenAlexW2963510427WikidataQ124808790 ScholiaQ124808790MaRDI QIDQ5176875

László Tóth

Publication date: 4 March 2015

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1485

zbMATH Keywords

subgroupcyclic groupdirect productnumber of subgroupsfinite abelian group of rank twoGoursat lemma

Mathematics Subject Classification ID

Finite abelian groups (20K01) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (8)

Counting subrings of the ring $\Bbb{Z}_m \times \Bbb{Z}_n$ ⋮ ON THE STRONGLY ANNIHILATING-SUBMODULE GRAPH OF A MODULE;On the strongly annihilating-submodule graph of a module ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ On the number of subgroups of a given exponent in a finite abelian group

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