Prove that if p is prime, then the nonzero elements of Zp form a group of...

 

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Prove that if p is prime, then the nonzero elements of Zp form a group of order p - 1 under multiplication, denoted Z p. Show that this is false if p is not prime. Prove that if p is prime, then the nonzero elements of Zp form a group of order p - 1 under multiplication, denoted Z p. Show that this is false if p is not prime.