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Let G be a group and let X = G. Define an action of G on...

Let G be a group and let X = G. Define an action of G on X by g · x = gx for any g ∈ G and x ∈ X. Complete and prove the following statements.

(a) For any x ∈ G, the orbit Ox is . . .

(b) For any x ∈ G, the stabilizer Gx is . . .

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