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.
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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) |
|---|---|
| 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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