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Decide whether each of the given sets is a group with respect to the indicated operation....

Decide whether each of the given sets is a group with respect to the indicated operation. If it is not a group, state a condition in the definition of group that fails to hold.

(a) The set {[1],[3],[5]}⊂Z8 with the operation multiplication.

(b) The set {[0],[2],[4],[6],[8]}⊂Z10 with operation addition.

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