Let p be a prime integer. Prove that [1] and [p-1] are the only elements in Zp that are their own multiplicative inverses.
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Originally Posted by rainyice Let p be a prime integer. Prove that [1] and [p-1] are the only elements in Zp that are their own multiplicative inverses. Hint: If , then or . for a prime number p > 2 and , where is the group of units in .
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