Automorphisms of finite cyclic 3-groups
A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. However, the actions of finite cyclic group are defined by automorphis...
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American Institute of Physics
2024
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| Online Access: | http://umpir.ump.edu.my/id/eprint/41613/ http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf |
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| author | Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof |
| author_facet | Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof |
| author_sort | Fatin Hanani, Hasan |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. However, the actions of finite cyclic group are defined by automorphisms, thus the number of automorphisms needs to be known before obtaining the number of actions that are compatible with one another. This paper focuses on determining the automorphism finite cyclic 3-groups. The general presentation of the automorphism of such groups is obtained with the help of Groups, Algorithm, and Programming (GAP) Software. |
| first_indexed | 2025-11-15T03:43:58Z |
| format | Conference or Workshop Item |
| id | ump-41613 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T03:43:58Z |
| publishDate | 2024 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-416132024-06-20T01:47:59Z http://umpir.ump.edu.my/id/eprint/41613/ Automorphisms of finite cyclic 3-groups Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof Q Science (General) QA Mathematics A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. However, the actions of finite cyclic group are defined by automorphisms, thus the number of automorphisms needs to be known before obtaining the number of actions that are compatible with one another. This paper focuses on determining the automorphism finite cyclic 3-groups. The general presentation of the automorphism of such groups is obtained with the help of Groups, Algorithm, and Programming (GAP) Software. American Institute of Physics 2024-03-07 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf pdf en http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf Fatin Hanani, Hasan and Mohd Sham, Mohamad and Yuhani, Yusof (2024) Automorphisms of finite cyclic 3-groups. In: AIP Conference Proceedings. 3rd International Conference on Applied &Industrial Mathematics and Statistics 2022 (ICoAIMS 2022) , 24th - 26th August 2022 , Virtual. pp. 1-6., 2895 (1). ISSN 1551-761-6 ISBN 978-0-7354-4820-9 (Published) https://doi.org/10.1063/5.0192365 |
| spellingShingle | Q Science (General) QA Mathematics Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof Automorphisms of finite cyclic 3-groups |
| title | Automorphisms of finite cyclic 3-groups |
| title_full | Automorphisms of finite cyclic 3-groups |
| title_fullStr | Automorphisms of finite cyclic 3-groups |
| title_full_unstemmed | Automorphisms of finite cyclic 3-groups |
| title_short | Automorphisms of finite cyclic 3-groups |
| title_sort | automorphisms of finite cyclic 3-groups |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/41613/ http://umpir.ump.edu.my/id/eprint/41613/ http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf |