  Using the results of Ding, Lee, Peres [3], we develop formulas to compute the
hitting times and cover times for random walks on groups. We developed an
explicit formula for hitting times in terms of the irreducible representations
of the group. We also have a way of computing cover times in terms of these
hitting times. This computation is based on a quantity we indentified, which we
call the volume growth function. And we believe that it is the right object to
study in order to understand the cover time.
