Abdul Hamid, M. and Mohd. Ali, N. M. and Sarmin, N. H. and Abd. Manaf, F. N.
(2013)
*Relative commutativity degree of some dihedral groups.*
In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B.

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Official URL: http://dx.doi.org/10.1063/1.4801214

## Abstract

The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity degree, P(G), is defined as the probability that a random pair of elements in a group commute. The relative commutativity degree of a group G is defined as the probability for an element of subgroup, H and an element of G to commute with one another and denoted by P(H,G). In this research the relative commutativity degree of some dihedral groups are determined.

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

Subjects: | Q Science |

Divisions: | Science |

ID Code: | 51277 |

Deposited By: | Haliza Zainal |

Deposited On: | 27 Jan 2016 01:53 |

Last Modified: | 18 Sep 2017 00:45 |

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