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    modular arithmetic and group theory

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    Show that the set {0,1,2,3} is not a group under multiplication modulo 4.

    The inverse property says that every element of the group has an inverse. When an element and its inverse are combined under and operation the result is the identity element. The identity element for multiplication is 1.

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    Solution Summary

    This solution helps go through modular arithmetic within the context of group theory.