- 27 Aug '08 19:36I know that in mathematics, Group Theory is the formal study of symmetry. However, having done quite a lot of group theory I am left with this question:

How?

I understand that the dihedral groups, and subgroups thereof, represent symmetries wonderfully. But, for instance, what would be represented by the Symmetric groups? would it be some n-dimensional object (where the symmetric group is S_n)?