Relations for relative Grothendieck groups of rings of finite representation type

For a ring $R$ of finite representation type the set of free generators is described for the group of relations of the relative Grothendieck group $K_0(R,F)$ corresponding to an additive subfunctor $F$ of the functor $\mathrm{Ext}^1_R$, which yields an extension to the absolute case of the corresponding results of Butler and Auslander. Bibliography: 8 titles.