The number of subgroups of a direct product of cyclic p-groups

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

The number of subgroups of a direct product of cyclic p-groups

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 › Article › peer-review

Abstract

For a prime p and positive integer n, let Cp (n) and Cp (n) denote the elementary abelian p-group of order pn and the cyclic group of order pn, respectively. In this paper, we obtain an explicit formula for determining the number of subgroups of the direct product Cp (r) ×Cps where r and s are positive integers.

Original language	English
Pages (from-to)	353-360
Number of pages	8
Journal	Ars Combinatoria
Volume	139
Publication status	Published - 1 Aug 2018

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title = "The number of subgroups of a direct product of cyclic p-groups",

abstract = "For a prime p and positive integer n, let Cp (n) and Cp (n) denote the elementary abelian p-group of order pn and the cyclic group of order pn, respectively. In this paper, we obtain an explicit formula for determining the number of subgroups of the direct product Cp (r) ×Cps where r and s are positive integers.",

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

year = "2018",

month = aug,

day = "1",

language = "English",

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pages = "353--360",

journal = "Ars Combinatoria",

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T1 - The number of subgroups of a direct product of cyclic p-groups

AU - Chew, Chun Yong

AU - Chin, Angelina Yan Mui

AU - Lim, Chia Sien

PY - 2018/8/1

Y1 - 2018/8/1

N2 - For a prime p and positive integer n, let Cp (n) and Cp (n) denote the elementary abelian p-group of order pn and the cyclic group of order pn, respectively. In this paper, we obtain an explicit formula for determining the number of subgroups of the direct product Cp (r) ×Cps where r and s are positive integers.

AB - For a prime p and positive integer n, let Cp (n) and Cp (n) denote the elementary abelian p-group of order pn and the cyclic group of order pn, respectively. In this paper, we obtain an explicit formula for determining the number of subgroups of the direct product Cp (r) ×Cps where r and s are positive integers.

M3 - Article

SN - 0381-7032

VL - 139

SP - 353

EP - 360

JO - Ars Combinatoria

JF - Ars Combinatoria

ER -

The number of subgroups of a direct product of cyclic p-groups

Abstract

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