Mohd. Ali, N. M. and Abdul Hamid, M. and Sarmin, N. H. and Erfanian, A. (2020) Graph related to cubed commutativity degree. ASM Science Journal, 13 . pp. 1-5. ISSN 1823-6782
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Official URL: http://dx.doi.org/10.32802/asmscj.2020.sm26(5.16)
Abstract
Let G be a finite group and T3(G) be the set of third power of commuting element in G i.e T3(G) = {x∈G|(xg)3 = (gx)3}. We define a graph, ⌈ with the vertex set G\T3(G) in which two vertices x and y are joined by an edge (connected) if (xy)3 ≠ (yx)3. This graph is called as graph related to cubed commutativity degree. In this research, we study this graph and find a characterization of finite groups in term of this graph.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | graph, cubed commutativity degree |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 91201 |
| Deposited By: | Yanti Mohd Shah |
| Deposited On: | 21 Jun 2021 08:41 |
| Last Modified: | 21 Jun 2021 08:41 |
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