If every element of a group G is its own inverse then G is called?

Cyclic

Abelian

Finite

None of these

If every element of a group $G$ is its own inverse, then $g^2 = e$ for all $g in G$ , meaning all elements are of order 2.

Such a group is Abelian because the group operation commutes: $(gh)^2 = e$ implies $g$ and $h$ must commute.