Abdul Hamid, Muhanizah and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Erfanian, Ahmad (2014) The productivity degree of two subgroups of dihedral groups. In: Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), 2014, Penang, Malaysia.
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Official URL: http://dx.doi.org/10.1063/1.4887657
Abstract
The commutativity degree of a group is the probability that two randomly chosen elements of G commute. The concept of commutativity degree is then extended to the relative commutativity degree of a group, which is defined as the probability for an element of H and an element of G to commute to one another. In this research, the relative commutativity degree concept is extended to the probability of a product of two subgroups of a group G productivity degree of two subgroups of a group G which is defined as the ratio of the order of the intersection of HK and KH with the order of their union where H and K are the subgroups of a group G. This research focuses only on the dihedral groups.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | G productivity degree, G commute |
| Subjects: | Q Science |
| Divisions: | Science |
| ID Code: | 63005 |
| Deposited By: | Fazli Masari |
| Deposited On: | 03 Oct 2017 07:50 |
| Last Modified: | 03 Oct 2017 07:50 |
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