Question

Identify the false statement

• A. A non-empty subset H of group G is a subgroup of G if and only if for every $a,bϵH\to a\ast b^{-1}ϵH$
• B. The intersection of two subgroups of a group G is again a subgroup
• C. A group of order three is not abelian
• D. If in a group F. $(ab{)}^2=a^2{b}^2\forall a,bϵG$ then G is abelian

Answer 1

Answer: (C)

A group of order three is not abelian

Stateent C is false, since every group of order $3$ is abelian