Geodesic
On the exponent of the cokernel of the forget-control map on ${\rm K}_0$-groups
Francis X. Connolly 1   ; Stratos Prassidis 2
1 Department of Mathematics University of Notre Dame Notre Dame, IN 46556, U.S.A.
2 Department of Mathematics Canisius College Buffalo, NY 14208, U.S.A.
Fundamenta Mathematicae, Tome 172 (2002) no. 3, pp. 201-216 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm172-3-1
Keywords: groups satisfy isomorphism conjecture lower k theory cokernel forget control groups composed groups finite subgroups using information calculate exponent each element cokernel terms torsion group

Francis X. Connolly  1   ; Stratos Prassidis  2

1 Department of Mathematics University of Notre Dame Notre Dame, IN 46556, U.S.A.
2 Department of Mathematics Canisius College Buffalo, NY 14208, U.S.A. 
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Francis X. Connolly; Stratos Prassidis. On the exponent of the cokernel of the
forget-control map on ${\rm K}_0$-groups. Fundamenta Mathematicae, Tome 172 (2002) no. 3, pp. 201-216. doi: 10.4064/fm172-3-1

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