Generating finite cyclic and dihedral groups using sequential insertion systems with interactions
The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own c...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English English |
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American Institute of Physics
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf |
| _version_ | 1848785162811211776 |
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| author | Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus |
| author_facet | Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus |
| author_sort | Fong, Wan Heng |
| building | IIUM Repository |
| collection | Online Access |
| description | The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own computational properties. In this paper, we introduce a new variant that enables the generation of some special types of groups called sequential insertion systems with interactions. We show that these new systems are able to generate all finite cyclic and dihedral groups. |
| first_indexed | 2025-11-14T16:48:46Z |
| format | Proceeding Paper |
| id | iium-58704 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:48:46Z |
| publishDate | 2017 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-587042019-08-18T02:31:49Z http://irep.iium.edu.my/58704/ Generating finite cyclic and dihedral groups using sequential insertion systems with interactions Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus QA Mathematics QA75 Electronic computers. Computer science The operation of insertion has been studied extensively throughout the years for its impact in many areas of theoretical computer science such as DNA computing. First introduced as a generalization of the concatenation operation, many variants of insertion have been introduced, each with their own computational properties. In this paper, we introduce a new variant that enables the generation of some special types of groups called sequential insertion systems with interactions. We show that these new systems are able to generate all finite cyclic and dihedral groups. American Institute of Physics 2017 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf application/pdf en http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf Fong, Wan Heng and Sarmin, Nor Haniza and Turaev, Sherzod and Yosman, Ahmad Firdaus (2017) Generating finite cyclic and dihedral groups using sequential insertion systems with interactions. In: 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016;, 15th-17th November 2016, Palm Garden Hotel, IOI Resort, Putrajaya, Malaysia. http://aip.scitation.org/doi/abs/10.1063/1.4980954 10.1063/1.4980954 |
| spellingShingle | QA Mathematics QA75 Electronic computers. Computer science Fong, Wan Heng Sarmin, Nor Haniza Turaev, Sherzod Yosman, Ahmad Firdaus Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title | Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title_full | Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title_fullStr | Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title_full_unstemmed | Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title_short | Generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| title_sort | generating finite cyclic and dihedral groups using sequential insertion systems with interactions |
| topic | QA Mathematics QA75 Electronic computers. Computer science |
| url | http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/ http://irep.iium.edu.my/58704/1/58704_Generating%20finite%20cyclic%20and%20dihedral.pdf http://irep.iium.edu.my/58704/2/58704_Generating%20finite%20cyclic%20and%20dihedral_SCOPUS.pdf http://irep.iium.edu.my/58704/13/58704%20Generating%20finite%20cyclic%20and%20dihedral%20groups%20WOS.pdf |