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  3. let g be an abelian group acting on a set x. suppo

Let G be an abelian group acting on a set X. Suppose that there is...

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Algebra

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Let G be an abelian group acting on a set X. Suppose that there is only one orbit under this action. Assume that G||X|. Prove that there exists e?g ? G such that Fix(g) = X.

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