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Let G act transitively on Ω and assume G is finite. Define an action of G...

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Advance Math

Let G act transitively on Ω and assume G is finite. Define anaction of G on the set Ω × Ω by putting

(α,β) · g = (α · g, β · g).

Let α ∈ Ω Show that G has the same number of orbits on Ω × ΩThat Gα has on Ω

Answer & Explanation Solved by verified expert
4.3 Ratings (689 Votes)
Forthe proof at first a lemma has been    See Answer
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