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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Charles Babbage Research Centre
2018
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my.um.eprints.222382019-09-05T01:39:21Z http://eprints.um.edu.my/22238/ The number of subgroups of a direct product of cyclic p-groups Chew, Chun Yong Chin, Angelina Yan Mui Lim, Chia S. Q Science (General) QA Mathematics 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. Charles Babbage Research Centre 2018 Article PeerReviewed Chew, Chun Yong and Chin, Angelina Yan Mui and Lim, Chia S. (2018) The number of subgroups of a direct product of cyclic p-groups. Ars Combinatoria, 139. pp. 353-360. ISSN 0381-7032 http://combinatorialmath.ca/ArsCombinatoria/Vol139.html |
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Q Science (General) QA Mathematics Chew, Chun Yong Chin, Angelina Yan Mui Lim, Chia S. The number of subgroups of a direct product of cyclic p-groups |
| description |
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. |
| format |
Article |
| author |
Chew, Chun Yong Chin, Angelina Yan Mui Lim, Chia S. |
| author_facet |
Chew, Chun Yong Chin, Angelina Yan Mui Lim, Chia S. |
| author_sort |
Chew, Chun Yong |
| title |
The number of subgroups of a direct product of cyclic p-groups |
| title_short |
The number of subgroups of a direct product of cyclic p-groups |
| title_full |
The number of subgroups of a direct product of cyclic p-groups |
| title_fullStr |
The number of subgroups of a direct product of cyclic p-groups |
| title_full_unstemmed |
The number of subgroups of a direct product of cyclic p-groups |
| title_sort |
number of subgroups of a direct product of cyclic p-groups |
| publisher |
Charles Babbage Research Centre |
| publishDate |
2018 |
| url |
http://eprints.um.edu.my/22238/ http://combinatorialmath.ca/ArsCombinatoria/Vol139.html |
| _version_ |
1646210183867662336 |
| score |
13.251813 |