Question: Please show all steps and write clearly. From Dummit and Foote section 1.7: 14. Let G be a group and let A = G. Show

Please show all steps and write clearly.

From Dummit and Foote section 1.7:

14. Let G be a group and let A = G. Show that if G is non-abelian then the maps defined by ga = ag for all g, a E G do not satisfy the axioms of a (left) group action of G on itself

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