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

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 e...

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Bibliographic Details
Main Authors: Abd Rhani, Norarida, Mohd Ali, Nor Muhainiah, Sarmin, Nor Haniza, Erfanian, Ahmad
Format: Article
Language:English
Published: Unit Penerbitan UiTM Kelantan 2019
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/29118/
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Summary: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