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    Examples of Abelian and Non-Abelian Groups

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    ** Please see the attached file for the complete problem description **

    Determine if the following sets along with the given operations form groups.

    If so, determine the identity element and if they are Abelian.

    If not, explain why.

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    Solution Summary

    In this solution, we determine which of several given sets with given multiplication operations are groups, and of these, which are Abelian.