Consider the property that each a element of a group G satisfies a2=e, where e is the identity element of the group. Which of the following statements is not always valid for a
group G with this property?
(a) G is commutative
(b) G has infinite or even order
(c) G is Noetherian
(d) G is vector space over Z2 Setscollege contestsBrazilian Undergrad MO