👉 In mathematics, a coactivity is defined as an element of a group that has the property of being coprime to another element. This means that if two elements a and b are in the same coset of a subgroup H, then their product ab is also in H. For example, consider the cyclic group Z_4 (the set of integers modulo 4), which consists of all even integers {0, 2, 4}. The element 1 = 2 has order