Some common Abelian groups:-
- (Z, +)
- (R, +)
- (Ev, +) //Set of Even numbers on addition
- (M, +) //Matrix addition
For addition, identity element, e = 0.
Inverse would be anything that results in 0 after addition.
Let's take the set of even numbers.
Is 2 = -2 ? No. So, Option A
Is 3 = 6? No. So, Option B //Note that here, $3^2=3+3=6$
Is set of even numbers finite? No. So, Option D