On the number of cyclic subgroups of a finite abelian group

zbMath1274.20047arXiv1203.6201MaRDI QIDQ4922988

László Tóth

Publication date: 4 June 2013

Full work available at URL: https://arxiv.org/abs/1203.6201

zbMATH Keywords

finite Abelian groupsnumbers of elementsnumbers of cyclic subgroupsorders of elementsmultiplicative arithmetic functions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Arithmetic functions; related numbers; inversion formulas (11A25) Subgroups of abelian groups (20K27)

Related Items (11)

Cyclicity degrees of finite groups. ⋮ A note on Shen's conjecture on groups with given same-order type ⋮ Unnamed Item ⋮ The number of automorphism of a finite abelian group of rank two ⋮ On \(n\)-cyclic groups ⋮ 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 CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON’S IDENTITY ⋮ Some thoughts on pseudoprimes ⋮ Fast multi-precision computation of some Euler products ⋮ Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\) ⋮ Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function

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