On the exponent of the cokernel of the forget-control map on K_0-groups, by Francis X. Connolly and Stratos Prassidis

For groups that satisfy the Farrell-Jones conjecture, we show that the cokernel of the "forget-control" is built up of the Nil-groups that correspond to the infinite, virtually infinite cyclic subgroups. We use the previous result of the two authors to calculate the exponent of that cokernel.

Francis X. Connolly <connolly.1@nd.edu>
Stratos Prassidis <stratos@mat.uff.br>