The orbit graph for some finite solvable groups

• Main Authors: Omer, S. M. S., Sarmin, Nor Haniza, Erfanian, A.
• Format: Conference or Workshop Item
• Published: 2014
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/62991/; http://dx.doi.org/10.1063/1.4882585

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 =...