  The OGS for non-abelian groups is an interesting generalization of the basis
of finite abelian groups. The definition of OGS states that every element of a
group has a unique presentation as a product of some powers of specific
generators of the group, in a specific given order. In case of the symmetric
groups Sn there is a paper of R. Shwartz, which demonstrates a strong
connection between the OGS and the standard Coxeter presentation of the
symmetric group, which is called the standard OGS of Sn. In this paper we
generalize the standard OGS of Sn to the finite classical Coxeter group Dn. We
describe the exchange laws for the generalized standard OGS of Dn, and we
connect it to the Coxeter length of elements of Dn.
