Thread: subgroup

Q: list all subgroup of a cyclic group of order 30.

give the hint to do this.

The subgroups of any finite cyclic group can be determined the same way:

There is exactly one cyclic subgroup of every order which divides the order of the group.

Of course, this makes answering the question easy: the subgroups of are .

But see if you can prove the statement above on WHY the subgroups of a cyclic group look this way.

Originally Posted by topspin1617

Of course, this makes answering the question easy: the subgroups of are .

Embedded isomorphically...