Suppose a is an element in a group G Also suppose a has orde

Suppose a is an element in a group G. Also, suppose a has order d. Which of the following is not necessarily true?

d is a prime number.

d divides the order of the group G.

The cyclic subgroup generated by a has exactly d elements.

a^d = e

1)	d is a prime number.

2)	d divides the order of the group G.

3)	The cyclic subgroup generated by a has exactly d elements.

a^d = e

The answer is option D.

Here the quantity e is not defined.

All the rest are true always.