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Suppose {a1,...,am} is a complete set of representatives for Z/mZ. Show: (i) If (b,m)=1, then{b*a1,...,b*am}is a complete...

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Advance Math

Suppose {a1,...,am} is a complete set of representatives forZ/mZ. Show:

(i) If (b,m)=1, then{b*a1,...,b*am}is a complete set of
representatives.

(ii) If (b,m)> 1, then{b*a1,...,b*am}is not a
complete set of representatives.

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