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Prove that the group G is abelian

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Reference no: EM132361580

Question - Let G be a finite group which possesses an automorphism σ such that σ2 = id and ∀g ∈ G, σ(g) = g 1883_figure.png g = 1.

Prove that for all g in G there exists an x in G such that g = x-1 σ(x).

Prove that the group G is abelian.

Reference no: EM132361580

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