On Rank 3 Groups Having λ = 0
1977 ◽
Vol 29
(4)
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pp. 845-847
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Keyword(s):
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).
Keyword(s):
2013 ◽
Vol 5
(1)
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pp. 13
Keyword(s):
2019 ◽
Vol 1334
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pp. 012020
2019 ◽
Vol 19
(3)
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pp. 673-680
2020 ◽
Vol 1564
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pp. 012032
Keyword(s):
2019 ◽
Vol 304
(S1)
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pp. S112-S122