Rhani, N. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. and Hamid, M. A.
(2016)
*Multiplicative degree of some dihedral groups.*
In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia.

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## Abstract

Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as the probability that a pair of elements x and y, chosen randomly from a group G, commute. The concept of commutativity degree has been extended to the relative commutativity degree of a subgroup H, which is defined as the probability that a random element of a subgroup, H commutes with another random element of a group G. This research extends the concept of relative commutativity degree to the multiplicative degree of a group G, which is defined as the probability that the product of a pair of elements x, y chosen randomly from a group G, is in H. This research focuses on some dihedral groups.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | Dihedral groups |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 73222 |

Deposited By: | Muhammad Atiff Mahussain |

Deposited On: | 27 Nov 2017 09:02 |

Last Modified: | 27 Nov 2017 09:02 |

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