Omer, S. M. S. and Sarmin, Nor Haniza and Erfanian, A.
(2014)
*The orbit graph for some finite solvable groups.*
In: The 3rd International Conference on Mathematical Sciences, 2013, Kuala Lumpur, Malaysia.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/1.4882585

## Abstract

Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting elements of size two in G. In this paper, we define a graph which is called an orbit graph whose vertices are non-central elements in Ω, where two vertices ν1 and ν2 are adjacent in the graph whenever ν1g = ν2, where ν1, ν2 ∈Ω, g ∈G. In this work, we find the orbit graph for some finite solvable groups where a group acts regularly and by conjugation on a set. Besides, some graph properties are found.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | orbit graph, conjugation |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 62991 |

Deposited By: | Fazli Masari |

Deposited On: | 03 Oct 2017 07:22 |

Last Modified: | 03 Oct 2017 07:22 |

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