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On the exponent of the cokernel of the forget-control map on K₀-groups

Francis X. Connolly; Stratos Prassidis — 2002

Fundamenta Mathematicae

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.

The surgery obstruction groups of the infinite dihedral group.

Connolly, Francis X.; Davis, James F. — 2004

Geometry & Topology

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