The structure of an even liaison class
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-We describe a structure called the Lazarsfeld-Rao property for even liaison classes in projective space. This property holds for many even liaison classes of curves in P3. We give a procedure for showing that an even liaison class in codimension 2 possesses this property, and we prove it for a family of even liaison classes in codimension 2 in any Pn, n ≥ 3. However, we conjecture that it in fact holds for every even liaison class in codimension 2, so we want to give consequences for an even liaison class that possesses this property. © 1989 American Mathematical Society.