Compatible action graph for finite cyclic p-groups
The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of gr...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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2018
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| Online Access: | http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf |
| _version_ | 1796992889847283712 |
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| author | Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood |
| author_facet | Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood |
| author_sort | Sahimel Azwal, Sulaiman |
| collection | UMP |
| description | The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given. |
| first_indexed | 2024-03-06T12:26:15Z |
| format | Conference or Workshop Item |
| id | UMPir22130 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T12:26:15Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | UMPir221302018-12-07T01:01:45Z http://umpir.ump.edu.my/id/eprint/22130/ Compatible action graph for finite cyclic p-groups Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood QA Mathematics The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given. 2018-04 Conference or Workshop Item NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf pdf en http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Mohamad Khalid, Shahood (2018) Compatible action graph for finite cyclic p-groups. In: 4th International Conference On Science, Engineering and Environment , 12 -14 November 2018 , Meitetsu New Grand Hotel, Nagoya. pp. 1-6.. (Unpublished) |
| spellingShingle | QA Mathematics Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood Compatible action graph for finite cyclic p-groups |
| title | Compatible action graph for finite cyclic p-groups |
| title_full | Compatible action graph for finite cyclic p-groups |
| title_fullStr | Compatible action graph for finite cyclic p-groups |
| title_full_unstemmed | Compatible action graph for finite cyclic p-groups |
| title_short | Compatible action graph for finite cyclic p-groups |
| title_sort | compatible action graph for finite cyclic p groups |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf |
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