1/2 transitive graphs associated with linear groups

1/2 transitive graphs associated with linear groups

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Article ID: iaor20001023
Country: China
Volume: 9
Issue: 4
Start Page Number: 354
End Page Number: 357
Publication Date: Oct 1996
Journal: Journal of Systems Science and Complexity
Authors:
Abstract:

In this paper, the author considers the action of G+PSL(n, p)(n ≥ 3, p is an odd prime, and (n, p – 1) = 1) on the set of frames of the projective space PG(n – 1, p) over the field GF(p), and survey the non-paired orbitals of G. Then the author finds an infinite family of vertex-primitive 1/2-transitive graphs. In addition, the author obtains a method of computing the suborbits of PSL(n, p) acting on the frame-set of PG(n – 1, p).

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