Cryptography, Cybersecurity.
field, we still want our maths to still operate as normal. The rules for every element in the group is: Commutative law. This is where (a+b) equals (b+a), and (a*b) equals (b*a). Associative law. This is where a.(b.c) is equal to b.(a.c). Distributive law. This is where a(b+c) is equal to ab+ac.