2. (a) Let p be a prime. Determine the number of elements of order p in...

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2. (a) Let p be a prime. Determine the number of elements oforder p in Zp^2 ? Zp^2 .

(b) Determine the number of subgroups of of Zp^2 ? Zp^2 whichare isomorphic to Zp^2 .

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