2. Prove Lemma 2.38. (a) Let * be ord G (g). Show that (g) equals {g 1...

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2. Prove Lemma 2.38.

(a) Let * be ordG(g). Show that (g) equals {g1, g2, ..., g*}.

(b) Conclude that the size of (g) is less than or equal to *.

(c) Show that the set {g1, g2, ..., g*} has exactly * many elements.

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