The productivity degree of two subgroups of dihedral groups

• Main Authors: Abdul Hamid, Muhanizah, Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza, Erfanian, Ahmad
• Format: Conference or Workshop Item
• Published: 2014
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/63005/; http://dx.doi.org/10.1063/1.4887657

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.