On nonsingular matrices and Bott periodicity.
On the exponent of the cokernel of the forget-control map on K₀-groups
For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.