The NTH commutativity degree of some 2-engel groups
Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y...
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2013
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my.utm.513632017-09-18T01:43:37Z http://eprints.utm.my/id/eprint/51363/ The NTH commutativity degree of some 2-engel groups Yahya, Z. Mohd. Ali, N. M. Sarmin, N. H. Johari, N. A. Q Science Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y) for which xn and y commute divided by the total number of (x, y) which is possible. In this research, all 2-Engel groups of order at most 25 are first determined. Then, the nth commutativity degree of those groups are computed. 2013 Conference or Workshop Item PeerReviewed Yahya, Z. and Mohd. Ali, N. M. and Sarmin, N. H. and Johari, N. A. (2013) The NTH commutativity degree of some 2-engel groups. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, Pts A And B. http://dx.doi.org/10.1063/1.4801225 |
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Q Science Yahya, Z. Mohd. Ali, N. M. Sarmin, N. H. Johari, N. A. The NTH commutativity degree of some 2-engel groups |
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Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y) for which xn and y commute divided by the total number of (x, y) which is possible. In this research, all 2-Engel groups of order at most 25 are first determined. Then, the nth commutativity degree of those groups are computed. |
| format |
Conference or Workshop Item |
| author |
Yahya, Z. Mohd. Ali, N. M. Sarmin, N. H. Johari, N. A. |
| author_facet |
Yahya, Z. Mohd. Ali, N. M. Sarmin, N. H. Johari, N. A. |
| author_sort |
Yahya, Z. |
| title |
The NTH commutativity degree of some 2-engel groups |
| title_short |
The NTH commutativity degree of some 2-engel groups |
| title_full |
The NTH commutativity degree of some 2-engel groups |
| title_fullStr |
The NTH commutativity degree of some 2-engel groups |
| title_full_unstemmed |
The NTH commutativity degree of some 2-engel groups |
| title_sort |
nth commutativity degree of some 2-engel groups |
| publishDate |
2013 |
| url |
http://eprints.utm.my/id/eprint/51363/ http://dx.doi.org/10.1063/1.4801225 |
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1643653018291273728 |