  In various classes of infinite groups, we identify groups that are
presentable by products, i.e. groups having finite index subgroups which are
quotients of products of two commuting infinite subgroups. The classes we
discuss here include groups of small virtual cohomological dimension and
irreducible Zariski dense subgroups of appropriate algebraic groups. This leads
to applications to groups of positive deficiency, to fundamental groups of
three-manifolds and to Coxeter groups.
  For finitely generated groups presentable by products we discuss the problem
of whether the factors in a presentation by products may be chosen to be
finitely generated.
