On Varietal Capability of Direct Products of Groups and Pair of Groups
  In this paper we give some conditions in which a direct product of groups is $\mathcal{V}-$capable if and only if each of its factors is $\mathcal{V}-$capable for some varieties $\mathcal{V}$. Moreover, we give some conditions in which a direct product of a finite family of pairs of groups is capable if and only if each of its factors is a capable pair of groups. 
Hanieh Mirebrahimi and Behrooz Mashayekhy
math.GR