Right-ordered and free lattice-ordered groups

The free -groups over nilpotent groups are considered. The upper bound of -solvable length is found for an -group over a nilpotent group of finite rank; the lower bound of solvable length is given for a free -group over a finitely generated nilpotent group.Translated fromAlgebra i Logika, Vol. 34, No. 1, pp. 33–40, January–February, 1995.Supported by the Russian Foundation for Fundamental Research, grant No. 93-011-1524.