Abd Rhani, Norarida and Mohd Ali, Nor Muhainiah and Sarmin, Nor Haniza and Erfanian, Ahmad
(2019)
*The Co-Prime Probability of p-Groups / Norarida Abdul Rhani ...[et al.].*
Journal of Mathematics & Computing Science, 5 (1).
pp. 53-56.
ISSN 0128-0767

## Abstract

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

## Metadata

Item Type: | Article |
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Creators: | Creators Email / ID Num. Abd Rhani, Norarida norarida@uitm.edu.my Mohd Ali, Nor Muhainiah normuhainiah@utm.my, nhs@utm.my Sarmin, Nor Haniza UNSPECIFIED Erfanian, Ahmad UNSPECIFIED |

Subjects: | Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Probabilities |

Divisions: | Universiti Teknologi MARA, Kelantan > Machang Campus |

Journal or Publication Title: | Journal of Mathematics & Computing Science |

UiTM Journal Collections: | UiTM Journal > Journal of Mathematics and Computing Science (JMCS) |

ISSN: | 0128-0767 |

Volume: | 5 |

Number: | 1 |

Page Range: | pp. 53-56 |

Keywords: | Commutativity degree, Co-primeprobability,Finite group, p-Groups |

Date: | 2019 |

URI: | https://ir.uitm.edu.my/id/eprint/29118 |