An additive group is a set equipped with an operation that combines any two elements to form a third element, satisfying specific properties such as closure, associativity, the existence of an identity element, and the presence of inverses. In the context of algebraic structures, additive groups play a crucial role in understanding how these structures operate under addition, leading to further exploration of group actions and algebraic groups.
congrats on reading the definition of additive group. now let's actually learn it.