COMEDK2012MathematicsMathematical Reasoning
Identify the false statement.
Options
- AA non-empty subset H of group G is a subgroup of G if and only if for every a, b H a * b⁻¹ H
- BThe intersection of two subgroups of a group G is again a subgroup.
- CA group of order three is not abelian
- DIf in a group F,(a b)²=a² b², a, b G then G is abelian
Correct answer
C. A group of order three is not abelian
Step-by-step solution
It is a false option because every group of order 3 is abelian because it is closed as well.