Abdul Hamid, Muhanizah and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Erfanian, Ahmad
(2014)
*The productivity degree of two subgroups of dihedral groups.*
In: Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), 2014, Penang, Malaysia.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/1.4887657

## Abstract

The commutativity degree of a group is the probability that two randomly chosen elements of G commute. The concept of commutativity degree is then extended to the relative commutativity degree of a group, which is defined as the probability for an element of H and an element of G to commute to one another. In this research, the relative commutativity degree concept is extended to the probability of a product of two subgroups of a group G productivity degree of two subgroups of a group G which is defined as the ratio of the order of the intersection of HK and KH with the order of their union where H and K are the subgroups of a group G. This research focuses only on the dihedral groups.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | G productivity degree, G commute |

Subjects: | Q Science |

Divisions: | Science |

ID Code: | 63005 |

Deposited By: | Fazli Masari |

Deposited On: | 03 Oct 2017 15:50 |

Last Modified: | 03 Oct 2017 15:50 |

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