Article ID Journal Published Year Pages File Type
4600426 Linear Algebra and its Applications 2013 10 Pages PDF
Abstract

Meemark and Prinyasart [10] proved by combinatorial method that the symplectic graph modulo pn is strongly regular when ν=1, and is arc transitive when p is an odd prime. In this paper, combining matrix method and elementary number theory, we continue this research, and prove that is arc transitive for any prime p. Furthermore, we determine the suborbits of the symplectic group modulo pn on , and show that is a strictly Deza graph when ν≥2 and n≥2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory