Omer, Sanaa Mohamed Saleh and Sarmin, Nor Haniza and Erfanian, Ahmad
(2015)
*The orbit graph of finite non-Abelian groups.*
Intertiol Jourl Of Pure And Applied Mathematics, 102
(4).
pp. 747-755.
ISSN 1311-8080

Full text not available from this repository.

Official URL: http://dx.doi.org/10.12732/ijpam.v102i4.12

## Abstract

Let G be a finite non-abelian group and let Ω be a set of elements of G. Let A be the set of commuting elements in Ω, i.e A = {v ∈ Ω : vg = gv, g ∈ G}. In this paper, we extend the work on conjugate graph by defining a new graph called the orbit graph, denoted as ΓGΩ. The vertices of ΓGΩ are non central elements in Ω but not in A in which two vertices of ΓGΩ are adjacent if they are conjugate. Some graph properties are provided. Besides, the orbit graph of dihedral groups and quaternion groups is determined.

Item Type: | Article |
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Uncontrolled Keywords: | commutativity degree, conjugate graph, graph theory, group action |

Subjects: | A General Works |

Divisions: | Science |

ID Code: | 58975 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 12:07 |

Last Modified: | 01 Feb 2017 09:31 |

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