In investigating the properties of cosets, we shall usually limit our attention to right cosets and leave for the reader the fomulation of the corresponding properties of left cosets, note that aԑHa since u, thIn investigating the properties of cosets, we shall usually limit our attention to right cosets and leave for the reader the fomulation of the corresponding properties of left cosets, note that since u, the identiy element of G, is also the identity of H.