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.
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Official URL: http://dx.doi.org/10.1063/1.4801225
Abstract
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.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | engel gropus |
| Subjects: | Q Science |
| Divisions: | Science |
| ID Code: | 51363 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 27 Jan 2016 01:53 |
| Last Modified: | 18 Sep 2017 01:43 |
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