The number of subgroups of a finite abelian p-group of rank 4

Chun Yong Chew; Angelina Yan Mui Chin; Chia Sien Lim

doi:10.1063/1.4932475

The number of subgroups of a finite abelian p-group of rank 4

Chun Yong Chew^*, Angelina Yan Mui Chin, Chia Sien Lim

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Conference article › peer-review

Abstract

An explicit formula for the total number of subgroups of a finite abelian p-group up to rank three is known. In this paper, we investigate the total number of subgroups of a finite abelian p-group of rank four with a view to extending the results to finite abelian p-groups of higher rank.

Original language	English
Article number	040002
Journal	AIP Conference Proceedings
Volume	1682
Issue number	1
DOIs	https://doi.org/10.1063/1.4932475
Publication status	Published - 22 Oct 2015

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title = "The number of subgroups of a finite abelian p-group of rank 4",

abstract = "An explicit formula for the total number of subgroups of a finite abelian p-group up to rank three is known. In this paper, we investigate the total number of subgroups of a finite abelian p-group of rank four with a view to extending the results to finite abelian p-groups of higher rank.",

author = "Chew, \{Chun Yong\} and Chin, \{Angelina Yan Mui\} and Lim, \{Chia Sien\}",

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AU - Chew, Chun Yong

AU - Chin, Angelina Yan Mui

AU - Lim, Chia Sien

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Y1 - 2015/10/22

N2 - An explicit formula for the total number of subgroups of a finite abelian p-group up to rank three is known. In this paper, we investigate the total number of subgroups of a finite abelian p-group of rank four with a view to extending the results to finite abelian p-groups of higher rank.

AB - An explicit formula for the total number of subgroups of a finite abelian p-group up to rank three is known. In this paper, we investigate the total number of subgroups of a finite abelian p-group of rank four with a view to extending the results to finite abelian p-groups of higher rank.

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U2 - 10.1063/1.4932475

DO - 10.1063/1.4932475

M3 - Conference article

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VL - 1682

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

IS - 1

M1 - 040002

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The number of subgroups of a finite abelian p-group of rank 4

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