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

• Autorzy: Francis X. Connolly , Stratos Prassidis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 19J05: Finiteness and other obstructions in K 0
• 57N15: Topology of E n , n -manifolds ( 4 n ∞ )
• 19M05: Miscellaneous applications of K -theory
• 19A31: K 0 of group rings and orders

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 172
• Numer: 3
• Strony: 201-216

Daty

wydano

2002

Twórcy

autor

Francis X. Connolly

• Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, U.S.A.

autor

Stratos Prassidis

• Department of Mathematics, Canisius College, Buffalo, NY 14208, U.S.A.

Identyfikatory

DOI

10.4064/fm172-3-1