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    Can {1,2,3} and {1,2,3,4} be Groups under Multiplication Modulo 4 and 5?

    1. Homework Statement Show that {1,2,3} under multiplication modulo 4 is not a group but that {1,2,3,4} under multiplication modulo 5 is a group Alright, take, for example, Set {1,2,3,4,5} for modulo 6 and set {1,2,3,4,5,6} modulo 7. A group meets 4 basic requirements...