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The Isomorphism Conjecture of Farrell and Jones for L-theory (5) has only been formulated for Ly and in this formulation been proved for a large class of groups, for in- stance for discrete cocompact subgroups of a virtually connected Lie group. The question arises whether the corresponding conjecture is true for L e for the decorations ea p; h; s .W e give examples showing that it fails for any of the decorations ea p; h; s. The groups involved are of the shape Z 2 F for finite F.

A Caveat on the Isomorphism Conjecture in L -theory