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Question: a 1 points determine all of the invertible elements of...

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(a) [1 points] Determine all of the invertible elements of Zo. (b) [3 points] Let p be a prime number. Determine the number of the invertible elements of Zy. You should justify your answer. (c) [3 points] Let p be an odd prime number. Show that for every k E N, the only elements x E Zpk such that x2-1 in Zp are x 1 and x = pk-1. d) |1 point, show that part (c) does not hold when p=2.
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