The cubed commutativity degree of dihedral groups
Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-t...
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| Format: | Conference or Workshop Item |
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American Institute of Physics Inc.
2016
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| author | Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. |
| author_facet | Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. |
| author_sort | Hamid, M. A. |
| collection | ePrints |
| description | Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree. |
| first_indexed | 2024-03-05T20:05:36Z |
| format | Conference or Workshop Item |
| id | utm.eprints-73228 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:05:36Z |
| publishDate | 2016 |
| publisher | American Institute of Physics Inc. |
| record_format | dspace |
| spelling | utm.eprints-732282017-11-26T03:37:05Z http://eprints.utm.my/73228/ The cubed commutativity degree of dihedral groups Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. QA Mathematics Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. (2016) The cubed commutativity degree of dihedral groups. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578407&doi=10.1063%2f1.4954592&partnerID=40&md5=ab7e07e5f66cdfc37d502a5766ced408 |
| spellingShingle | QA Mathematics Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. The cubed commutativity degree of dihedral groups |
| title | The cubed commutativity degree of dihedral groups |
| title_full | The cubed commutativity degree of dihedral groups |
| title_fullStr | The cubed commutativity degree of dihedral groups |
| title_full_unstemmed | The cubed commutativity degree of dihedral groups |
| title_short | The cubed commutativity degree of dihedral groups |
| title_sort | cubed commutativity degree of dihedral groups |
| topic | QA Mathematics |
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