The Co-Prime Probability of p-Groups / Norarida Abdul Rhani ...[et al.]

• Main Authors: Abd Rhani, Norarida, Mohd Ali, Nor Muhainiah, Sarmin, Nor Haniza, Erfanian, Ahmad
• Format: Article
• Language: English
• Published: Unit Penerbitan Universiti Teknologi MARA, Kelantan 2019
• Subjects: Mathematical statistics. Probabilities; Probabilities
• Online Access: http://ir.uitm.edu.my/id/eprint/29118/1/29118.pdf; http://ir.uitm.edu.my/id/eprint/29118/; http://jmcs.com.my/index.php/jmcs/article/view/45
• Institution: Universiti Teknologi Mara

The commutativity degree of Gcanbe used to measure how close a group is to be abelian. This concept has been extended to the probability that two random integers are co-prime. Two integers s and tare said to be co-prime if their greatest common divisor is equal to one. This concept hasbeen further extended to the co-prime probability of G, where the probability of the order of a random pair of elements in the group are co-prime.In this paper, the co-prime probability for all p-groups, where pis prime number isdetermined