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.
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Abstract
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.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | the n-th power commutativity degree |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 73228 |
| Deposited By: | Muhammad Atiff Mahussain |
| Deposited On: | 26 Nov 2017 03:37 |
| Last Modified: | 26 Nov 2017 03:37 |
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