Group g onto itself is called an automorphism of g

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Reference no: EM13124083

Isomorphisms proof

Let G be a group. Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian.

Note: An isomorphism from a group G onto itself is called an automorphism of G.

Reference no: EM13124083

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