In this chapter we want to isolate geometric properties of a group G which guarantee that the strategy of proofs discussed in Chapter 19 works out. So we want to describe a bunch of geometric conditions on G which imply the Farrell-Jones Conjecture but do not contain any K-theoretic or homotopy theoretic data. This may be useful for someone who wants to prove the Farrell-Jones Conjecture for a new class of groups, since she or he needs only to check that this class satisfies one of the properties (or some appropriate variation or generalization) appearing below without having to deal with the proofs relying on homotopy theory and K-theory that these properties imply the Farrell-Jones Conjecture.