The squared Commutativity degree of dihedral groups
The commutativity degree of a finite 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 rando...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2016
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| Online Access: | http://eprints.utm.my/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf |
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| author | Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. Manaf, F. N. A. |
| author_facet | Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. Manaf, F. N. A. |
| author_sort | Hamid, M. A. |
| collection | ePrints |
| description | The commutativity degree of a finite 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 paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree. |
| first_indexed | 2024-03-05T20:08:09Z |
| format | Article |
| id | utm.eprints-74493 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:08:09Z |
| publishDate | 2016 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-744932017-11-28T05:01:12Z http://eprints.utm.my/74493/ The squared Commutativity degree of dihedral groups Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. Manaf, F. N. A. QA Mathematics The commutativity degree of a finite 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 paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree. Penerbit UTM Press 2016 Article PeerReviewed application/pdf en http://eprints.utm.my/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. and Manaf, F. N. A. (2016) The squared Commutativity degree of dihedral groups. Jurnal Teknologi, 78 (3-2). pp. 45-49. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962615525&doi=10.11113%2fjt.v78.7811&partnerID=40&md5=53af64f2843029027ecbff0c9917dd90 |
| spellingShingle | QA Mathematics Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. Manaf, F. N. A. The squared Commutativity degree of dihedral groups |
| title | The squared Commutativity degree of dihedral groups |
| title_full | The squared Commutativity degree of dihedral groups |
| title_fullStr | The squared Commutativity degree of dihedral groups |
| title_full_unstemmed | The squared Commutativity degree of dihedral groups |
| title_short | The squared Commutativity degree of dihedral groups |
| title_sort | squared commutativity degree of dihedral groups |
| topic | QA Mathematics |
| url | http://eprints.utm.my/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf |
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