Description:
<jats:title>Abstract</jats:title><jats:p>It is known that the <jats:italic>K</jats:italic>-theory of a large class of groups can be computed from the <jats:italic>K</jats:italic>-theory of their virtually infinite cyclic subgroups. On the other hand, Nil-groups appear to be the obstacle in calculations involving the <jats:italic>K</jats:italic>-theory of the latter. The main difficulty in the calculation of Nil-groups is that they are infinitely generated when they do not vanish. We develop methods for computing the exponent of NK<jats:sub>0</jats:sub>-groups that appear in the calculation of the K<jats:sub>0</jats:sub>-groups of virtually infinite cyclic groups.</jats:p>