In general, if "X" is a homogeneous space, and "H""o" is the stabilizer of some marked point "o" in "X" (a choice of origin), the points of "X" correspond to the left cosets "G"/"H""o", and the marked point "o" corresponds to the coset of the identity. Conversely, given a coset space "G"/"H", it is a homogeneous space for "G" with a distinguished point, namely the coset of the identity. Thus a homogeneous space can be thought of as a coset space without a choice of origin.