Relative commutativity degree of some dihedral groups

• Main Authors: Abdul Hamid, M., Mohd. Ali, N. M., Sarmin, N. H., Abd. Manaf, F. N.
• Format: Conference or Workshop Item
• Published: 2013
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/51277/; http://dx.doi.org/10.1063/1.4801214

The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity degree, P(G), is defined as the probability that a random pair of elements in a group commute. The relative commutativity degree of a group G is defined as the probability for an element of subgroup, H and an element of G to commute with one another and denoted by P(H,G). In this research the relative commutativity degree of some dihedral groups are determined.