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The set $\{-1,0,1\}$ is not a multiplicative group because of the failure of
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The correct answer is:
inverse law
Let $G=\{-1,0,1\}$
Since, the multiplicative inverse of 0 is not defined.
Hence, inverse law fails the multiplicative group.
Since, the multiplicative inverse of 0 is not defined.
Hence, inverse law fails the multiplicative group.
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