Given a group G, let A(G) be the set of all isomorphism from G to itself. For every g∈G, define the map φg : G-->G by φg(x) = g^ -1xg

(a) Show that A(G) is a group under composition.

(b) Prove thatφg ∈A(G) for every g ∈G.

(c) Let φ: G-->A(G) be the map g-->φg. Verify that φ is a homomorphism.

Note φg, g is subscript to the φ (i do not know how to type)