Counting subgroups of fixed order in finite abelian groups

DOI10.1080/09720529.2020.1833440zbMath1487.20020arXiv1806.03774OpenAlexW3134585089MaRDI QIDQ5035030

Amit Sehgal, Fikreab Solomon Admasu

Publication date: 21 February 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03774

zbMATH Keywords

finite abelian groupsrank 3rank 4counting subgroupsspecial case of any rank

Mathematics Subject Classification ID

Finite abelian groups (20K01) Subgroups of abelian groups (20K27)

Uses Software

• SageMath

Cites Work

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• Counting congruence subgroups.
• An expression for the number of subgroups of a given order of a finite p- group
• On computing the number of subgroups of a finite Abelian group
• On the asymptotic behaviour of the number of subgroups of finite abelian groups
• Subgroup lattices of groups
• AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3
• An arithmetic method of counting the subgroups of a finite abelian group
• On number of subgroups of finite Abelian group Zm \otimes Zn
• A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
• Zeta function of subgroups of abelian groups and average orders
• Evaluation of divisor functions of matrices
• Zeta functions of finite groups by enumerating subgroups
• On the subgroups of finite Abelian groups of rank three
• Number of the Subgroups of Any Abelian Group
• On the number of subgroups of finite abelian groups

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