- #1

TheForumLord

- 108

- 0

## Homework Statement

The last parts of the problems were:

1. prove that for each natural n, the additive quotient group Q/Z contains a one and only subgroup of order n and that sub-group is cyclic.

2. let G,H be two finite sub-groups of Q/Z. prove that G is contained in H if and only if

o(G)|o(H).

3. find all homomorphisms from Z/nZ to Q/Z.

but I've no clue how to start with the 4th part:

4. find all homomorphisms from Q/Z to Z...

TNX for all the helpers...

## Homework Equations

none.

## The Attempt at a Solution

none...