Fatin Hanani, Hasan and Mohd Sham, Mohamad and Yuhani, Yusof and N.A., Mohd Busul Aklan (2023) Finite cyclic group of p-power order and its compatibility conditions. Data Analytics and Applied Mathematics (DAAM), 4 (2). pp. 1-7. ISSN 2773-4854. (Published)
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Abstract
Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour. An overview of cyclic groups, automorphisms and their properties is given as groundwork for this research. By analysing the interaction between the group's order and its generator, we discovered the compatibility conditions and presented them as the primary finding in this paper.
| Item Type: | Article |
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| Uncontrolled Keywords: | Cyclic group, Automorphism group, Compatible action, Nonabelian tensor product, Number theory |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mr Muhamad Firdaus Janih@Jaini |
| Date Deposited: | 20 Jun 2024 01:29 |
| Last Modified: | 20 Jun 2024 01:51 |
| URI: | http://umpir.ump.edu.my/id/eprint/41616 |
| Download Statistic: | View Download Statistics |
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