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The Orbital Graph of Primitive Group with Socle A<sub>7</sub> &#215;A<sub>7</sub>

The Orbital Graph of Primitive Group with Socle A<sub>7</sub> &#215;A<sub>7</sub>
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摘要 In this paper, we mainly study the orbital graphs of primitive groups with the socle A<sub>7</sub> x A<sub>7 </sub>which acts by diagonal action. Firstly, we calculate the element conjugate classes of A7</sub>, then we discuss the stabilizer of two points in A7</sub>. Finally, according to the relation between suborbit and orbital, we obtain the orbitals, and determine the orbital graphs. In this paper, we mainly study the orbital graphs of primitive groups with the socle A<sub>7</sub> x A<sub>7 </sub>which acts by diagonal action. Firstly, we calculate the element conjugate classes of A7</sub>, then we discuss the stabilizer of two points in A7</sub>. Finally, according to the relation between suborbit and orbital, we obtain the orbitals, and determine the orbital graphs.
作者 Jing Wu Chang Wang Jinlong Yang Hong Xu Jing Wu;Chang Wang;Jinlong Yang;Hong Xu(School of Preparatory Education, Yunnan Minzu University, Kunming, China)
出处 《Advances in Pure Mathematics》 2022年第3期136-143,共8页 理论数学进展(英文)
关键词 Primitive Group Simple Diagonal Action Suborbit Orbital Graph Primitive Group Simple Diagonal Action Suborbit Orbital Graph
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