Question

Let G be a finite group containing a non-identity element which is conjugate to its inverse. Then, which one of the following is TRUE ?

• A. The order of G is necessarily even
• B. The order of G is not necessarily even
• C. G is necessarily cyclic
• D. G is necessarily abelian but need not be cyclic

Answer 1

Answer: (A)

The order of G is necessarily even

Answer 2

The correct option is (A) : The order of G is necessarily even.