Geodesic
On Rank 3 Groups Having λ = 0
Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 845-847

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we shall consider certain rank 3 permutation groups G which act on a set Ω of size n. Thus a point stabiliser Gα will have 3 orbits { α }, △ (α), Γ (α) of sizes 1, k, I respectively. It is well known that, if |G| is even, then the orbital △ defines a strongly regular graph on Ω. In this graph, every point has valency k, every pair of adjacent points are adjacent to a constant number λ of common points, and every pair of non-adjacent points are adjacent to a constant number μ of common points. This notation is reasonably standard (see [4], where much background theory is given). 
Atkinson, M. D. On Rank 3 Groups Having λ = 0. Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 845-847. doi: 10.4153/CJM-1977-086-2
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[1] 1. Atkinson, M. D., Rank 3 permutation groups with X = 0, Unpublished manuscript, Cardiff 1975. Google Scholar

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