Finite cyclic group of p-power order and its compatibility conditions
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 propertie...
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| Format: | Article |
| Language: | English |
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Universiti Malaysia Pahang Publishing
2023
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| Online Access: | http://umpir.ump.edu.my/id/eprint/41616/1/Finite%20cyclic%20group%20of%20p-power%20order%20and%20its%20compatibility%20conditions_Upload.pdf |
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| author | Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof N.A., Mohd Busul Aklan |
| author_facet | Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof N.A., Mohd Busul Aklan |
| author_sort | Fatin Hanani, Hasan |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-09-25T03:50:31Z |
| format | Article |
| id | UMPir41616 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-09-25T03:50:31Z |
| publishDate | 2023 |
| publisher | Universiti Malaysia Pahang Publishing |
| record_format | dspace |
| spelling | UMPir416162024-06-20T01:51:00Z http://umpir.ump.edu.my/id/eprint/41616/ Finite cyclic group of p-power order and its compatibility conditions Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof N.A., Mohd Busul Aklan Q Science (General) QA Mathematics 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. Universiti Malaysia Pahang Publishing 2023 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/41616/1/Finite%20cyclic%20group%20of%20p-power%20order%20and%20its%20compatibility%20conditions_Upload.pdf 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) https://doi.org/10.15282/daam.v4i2.10022 https://doi.org/10.15282/daam.v4i2.10022 |
| spellingShingle | Q Science (General) QA Mathematics Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof N.A., Mohd Busul Aklan Finite cyclic group of p-power order and its compatibility conditions |
| title | Finite cyclic group of p-power order and its compatibility conditions |
| title_full | Finite cyclic group of p-power order and its compatibility conditions |
| title_fullStr | Finite cyclic group of p-power order and its compatibility conditions |
| title_full_unstemmed | Finite cyclic group of p-power order and its compatibility conditions |
| title_short | Finite cyclic group of p-power order and its compatibility conditions |
| title_sort | finite cyclic group of p power order and its compatibility conditions |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/41616/1/Finite%20cyclic%20group%20of%20p-power%20order%20and%20its%20compatibility%20conditions_Upload.pdf |
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