2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77191Dominions, in the sense of Isbell, are investigated in the context of decomposable varieties of groups. An upper and lower bound for dominions in such a variety is given in terms of the two varietal factors, and the internal structure of the group being analyzed. Finally, the following result is established: If a variety ${\cal N}$ has instances of nontrivial dominions, then for any proper subvariety ${\cal Q}$ of ${\cal G}roup$, ${\cal NQ}$ also has instances of nontrivial dominions.Plain TeX, 22 pp. Typos corrected. Final versionGroup Theory08B25, 20E10 (primary) 20E22, 20F18 (secondary)text