Which of the following groups are cyclic Which are finitely

Which of the following groups are cyclic? Which are finitely generated? The multiplicative group {[n]/n is not dutiable by 5} of reduce classes module 25. The additive group of rational numbers. The additive group of real numbers. The multiplicative group of positive nationals. The multiplicative group of complex numbers.

Solution

cycli groups are

1

2

3

and finitely generated is 1

other groups 4 and 5 is not cyclic