Zaid, N. and Sarmin, N. H. and Rahmat, H.
(2017)
*On the generalized conjugacy class graph of some dihedral groups.*
Malaysian Journal of Fundamental and Applied Sciences, 13
(2).
ISSN 2289-5981

Full text not available from this repository.

Official URL: http://dx.doi.org/10.11113/mjfas.v13n2.556

## Abstract

A graph is a mathematical structure which consists of vertices and edges that is used to model relations between object. In this research, the generalized conjugacy class graph is constructed for some dihedral groups to show the relation between orbits and their cardinalities. In order to construct the graph, the probability that an element of the dihedral groups fixes a set must first be obtained. The set under this study is the set of all pairs of commuting elements in the form of (a,b) where a and b are elements of the dihedral groups and the lowest common multiple of the order of the elements is two. The orbits of the set are then computed using conjugation action. Based on the results obtained, the generalized conjugacy class graph is constructed and some graph properties are also found.

Item Type: | Article |
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Uncontrolled Keywords: | conjugacy class, dihedral group, commutativity degree |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 80915 |

Deposited By: | Narimah Nawil |

Deposited On: | 24 Jul 2019 00:10 |

Last Modified: | 24 Jul 2019 00:10 |

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