TITLE:
The Orbital Graph of Primitive Group with Socle A7 × A7
AUTHORS:
Jing Wu, Chang Wang, Jinlong Yang, Hong Xu
KEYWORDS:
Primitive Group, Simple Diagonal Action, Suborbit, Orbital Graph
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.3,
March
10,
2022
ABSTRACT: 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, then we discuss the stabilizer of two points in A7. Finally, according to the relation between suborbit and orbital, we obtain the orbitals, and determine the orbital graphs.