- #1

jessicaw

- 56

- 0

## Homework Statement

G is additive group. If the order of G is infinity, then G is cyclic iff each subgroup H of G is of the form nG for some interger n.

## Homework Equations

cyclic property.

## The Attempt at a Solution

i kind of know that nG is the answer but why G has to be infinite order?

And i think it is most difficult to write out the proof.

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