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

Francis X. Connolly; Stratos Prassidis

doi:10.4064/fm172-3-1

Geodesic

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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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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

Affiliations des auteurs :

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. http://geodesic.mathdoc.fr/articles/10.4064/fm172-3-1/

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