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

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 posit...

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主要な著者: Chew, Chun Yong, Chin, Angelina Yan Mui, Lim, Chia S.
フォーマット: 論文
出版事項: Charles Babbage Research Centre 2018
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オンライン・アクセス:http://eprints.um.edu.my/22238/
http://combinatorialmath.ca/ArsCombinatoria/Vol139.html
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要約: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.