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8. Let a,..., a and b,...,b be any two permutations of 1, 2,..., m. (a) Show that if m> 1 is a prime, then
8. Let a,..., a and b,...,b be any two permutations of 1, 2,..., m. (a) Show that if m> 1 is a prime, then there exist i and j, i j satisfying m|(a,b; -a;bj). (b) Prove the same assertion of m is composite.
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