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The Orbital Graph of Primitive Group with Socle <i>A</i><sub>7</sub> × <i>A</i><sub>7</sub>
School of Preparatory Education, Yunnan Minzu University, Kunming, China
School of Preparatory Education, Yunnan Minzu University, Kunming, China
School of Preparatory Education, Yunnan Minzu University, Kunming, China
School of Preparatory Education, Yunnan Minzu University, Kunming, China
- 1 School of Preparatory Education, Yunnan Minzu University, Kunming, China
- 2 School of Preparatory Education, Yunnan Minzu University, Kunming, China
- 3 School of Preparatory Education, Yunnan Minzu University, Kunming, China
- 4 School of Preparatory Education, Yunnan Minzu University, Kunming, China
Advances in Pure Mathematics·Volume 12 (2022)·Pages 136–143·Published 7 March 2022·DOI10.4236/apm.2022.123012
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Abstract
In this paper, we mainly study the orbital graphs of primitive groups with the socle A 7 x A 7 which acts by diagonal action. Firstly, we calculate the element conjugate classes of A 7 , then we discuss the stabilizer of two points in A 7 . Finally, according to the relation between suborbit and orbital, we obtain the orbitals, and determine the orbital graphs.
KeywordsPrimitive GroupSimple Diagonal ActionSuborbitOrbital Graph
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