Question: Let (G, *) be a group with identity e. (1) Suppose x^-1 = x for all x G show that * must be communtative on

Let (G, *) be a group with identity e.

(1) Suppose x^-1 = x for all x G

show that * must be communtative on G

(2) Suppose the implication: If x*y = t*x, then y = t is true for all x, y, t G

Show that * must be commutattive on G.

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