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

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

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

Tom 172 / 2002

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

Streszczenie

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.

Autorzy

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

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