On the number of subgroups of a given exponent in a finite abelian group

DOI10.2298/PIM1715121TzbMath1474.20095arXiv1507.00532OpenAlexW3102582680MaRDI QIDQ4985603

László Tóth, Marius Tărnăuceanu

Publication date: 23 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00532

zbMATH Keywords

subgroupexponentfinite abelian group

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Characteristic subgroup lattices and Hopf–Galois structures ⋮ The number of subgroups of finite abelian p-groups of rank 4 and higher ⋮ A connection between the number of subgroups and the order of a finite group

Cites Work

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• AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3
• Subgroup lattices and symmetric functions
• Evaluation of divisor functions of matrices
• Subgroups of Finite Abelian Groups Having Rank Two via Goursat’s Lemma
• On the subgroups of finite Abelian groups of rank three
• On prime power Abelian groups

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