Permutation representations of finite simple groups: Orbits of cyclic ...
Permutation representations of finite simple groups: Orbits of cyclic ...
Permutation representations of finite simple groups: Orbits of cyclic ...
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Proposition: Let G be doubly transitive on Ω and let ∆ be a<br />
transitive G-set. Then exactly one <strong>of</strong> the following is true:<br />
(i) There exists an injective F G-homorphism ϕ: F Ω → F ∆,<br />
(ii) G = G ω · G δ for all ω ∈ Ω and δ ∈ ∆.