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 (Unpublished)
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Abstract
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.
| Item Type: | Conference or Workshop Item (Speech) |
|---|---|
| Uncontrolled Keywords: | Nonabelian tensor product; Cyclic groups; Automorphism group; Compatible actions; Graph theory |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Faculty of Industrial Sciences And Technology |
| Depositing User: | Pn. Hazlinda Abd Rahman |
| Date Deposited: | 07 Dec 2018 01:00 |
| Last Modified: | 07 Dec 2018 01:01 |
| URI: | http://umpir.ump.edu.my/id/eprint/22130 |
| Download Statistic: | View Download Statistics |
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