On the exponent of the cokernel of the forget-control map on ${\rm K}_0$-groups

Volume 172 / 2002

Francis X. Connolly, Stratos Prassidis Fundamenta Mathematicae 172 (2002), 201-216 MSC: 57N15, 19A31, 19J05, 19M05. DOI: 10.4064/fm172-3-1


For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control ${\rm K}_0$-groups is composed by the ${{\rm NK}}_0$-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.


  • Francis X. ConnollyDepartment of Mathematics
    University of Notre Dame
    Notre Dame, IN 46556, U.S.A.
  • Stratos PrassidisDepartment of Mathematics
    Canisius College
    Buffalo, NY 14208, U.S.A.

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