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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Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Unit Penerbitan Universiti Teknologi MARA, Kelantan
2019
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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 |
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Institution: | Universiti Teknologi Mara |
Language: | English |
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 |
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