The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming
This research is focused on two types of finite abelian groups which are the group of integers under addition modulo , and the group of integers under multiplication modulo , where is any positive integer at most 200. The computations of some properties of the group including the order of the group...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2017
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| Online Access: | http://eprints.utm.my/80281/1/NorMuhainiahMohdAli2017_TheComputationofSomePropertiesofAdditive.pdf |
| _version_ | 1796863158500982784 |
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| author | Mohd. Ali, Nor Muhainiah Noor Azhuan, Nur Azura Sarmin, Nor Haniza Johar, Farhana |
| author_facet | Mohd. Ali, Nor Muhainiah Noor Azhuan, Nur Azura Sarmin, Nor Haniza Johar, Farhana |
| author_sort | Mohd. Ali, Nor Muhainiah |
| collection | ePrints |
| description | This research is focused on two types of finite abelian groups which are the group of integers under addition modulo , and the group of integers under multiplication modulo , where is any positive integer at most 200. The computations of some properties of the group including the order of the group, the order and inverse of each element, the cyclic subgroups, the generators of the group, and the lattice diagrams get more complicated and time consuming as n increases. Therefore, a special program is needed in the computation of these properties. Thus in this research, a program has been developed by using Microsoft Visual C++ Programming. This program enables the user to enter any positive integer at most 200 to generate answers for the properties of the groups. |
| first_indexed | 2024-03-05T20:22:32Z |
| format | Article |
| id | utm.eprints-80281 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:22:32Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-802812019-04-25T01:24:48Z http://eprints.utm.my/80281/ The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming Mohd. Ali, Nor Muhainiah Noor Azhuan, Nur Azura Sarmin, Nor Haniza Johar, Farhana QA Mathematics This research is focused on two types of finite abelian groups which are the group of integers under addition modulo , and the group of integers under multiplication modulo , where is any positive integer at most 200. The computations of some properties of the group including the order of the group, the order and inverse of each element, the cyclic subgroups, the generators of the group, and the lattice diagrams get more complicated and time consuming as n increases. Therefore, a special program is needed in the computation of these properties. Thus in this research, a program has been developed by using Microsoft Visual C++ Programming. This program enables the user to enter any positive integer at most 200 to generate answers for the properties of the groups. Penerbit UTM Press 2017 Article PeerReviewed application/pdf en http://eprints.utm.my/80281/1/NorMuhainiahMohdAli2017_TheComputationofSomePropertiesofAdditive.pdf Mohd. Ali, Nor Muhainiah and Noor Azhuan, Nur Azura and Sarmin, Nor Haniza and Johar, Farhana (2017) The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming. Sains Humanika, 9 (1-2). pp. 57-63. ISSN 2289-6996 https://dx.doi.org/10.11113/sh.v9n1-2.1100 DOI:10.11113/sh.v9n1-2.1100 |
| spellingShingle | QA Mathematics Mohd. Ali, Nor Muhainiah Noor Azhuan, Nur Azura Sarmin, Nor Haniza Johar, Farhana The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title | The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title_full | The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title_fullStr | The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title_full_unstemmed | The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title_short | The computation of some properties of additive and multiplicative groups of integers modulo n using C++ programming |
| title_sort | computation of some properties of additive and multiplicative groups of integers modulo n using c programming |
| topic | QA Mathematics |
| url | http://eprints.utm.my/80281/1/NorMuhainiahMohdAli2017_TheComputationofSomePropertiesofAdditive.pdf |
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