Graph related to cubed commutativity degree
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 c...
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| Main Authors: | , , , |
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| Format: | Article |
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Akademi Sains Malaysia
2020
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/91201/ http://dx.doi.org/10.32802/asmscj.2020.sm26(5.16) |
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| Summary: | 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. |
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