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The free lattice-ordered group over a nilpotent group
We show that the free lattice-ordered group over a finitely generated torsionfree nilpotent group is <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l"> <mml:semantics> <mml:mi>l</mml:mi> <mml:annotation encoding="application/x-tex">l</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-solvable of some finite rank.