Abstract
Every group that is finitely presented in the varietyA n of solvable groups. and is universally equivalent to a free group Fr(A n) in this variety, is embedded in the Cartesian degree of F2(A n). All subgroups on a set of two generators in that Cartesian degree which are universally equivalent to F2(A n) are determined. Free solvable and nilpotent groups are proved universally equivalent.
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