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Xu, M.Y. (1999) The Theory of Finite Groups. Beijing Science Press, Beijing. (In Chinese)

has been cited by the following article:

• 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.