The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the
algebraic K-theory of a group using a generalized homology theory. In cases where the
conjecture is known to be a theorem it gives a powerful method for computing the lower
algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory
of the split three-dimensional crystallographic groups a geometrically important class of
three-dimensional crystallographic group representing a third of the total number. The book
leads the reader through all aspects of the calculation. The first chapters describe the split
crystallographic groups and their classifying spaces. Later chapters assemble the techniques
that are needed to apply the isomorphism theorem. The result is a useful starting point for
researchers who are interested in the computational side of the Farrell-Jones isomorphism
conjecture and a contribution to the growing literature in the field.
