Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A.
(2016)
*The cubed commutativity degree of 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 finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | the n-th power commutativity degree |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 73228 |

Deposited By: | Muhammad Atiff Mahussain |

Deposited On: | 26 Nov 2017 03:37 |

Last Modified: | 26 Nov 2017 03:37 |

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