The Orbital Graph of Primitive Group with Socle A₇ ×A₇  

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)

机构地区：[1]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）

摘　　要：In this paper, we mainly study the orbital graphs of primitive groups with the socle A₇ x A₇which 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 A₇ x A₇which 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.

关 键 词：Primitive Group Simple Diagonal Action Suborbit Orbital Graph 

分 类 号：O15[理学—数学]