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

Francis X. Connolly, and Stratos Prassidis. "On the exponent of the cokernel of the forget-control map on K₀-groups." Fundamenta Mathematicae 172.3 (2002): 201-216. <http://eudml.org/doc/282691>.

@article{FrancisX2002,
abstract = {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.},
author = {Francis X. Connolly, Stratos Prassidis},
journal = {Fundamenta Mathematicae},
keywords = {controlled -theory; nil groups; Farrell-Jones isomorphism},
language = {eng},
number = {3},
pages = {201-216},
title = {On the exponent of the cokernel of the forget-control map on K₀-groups},
url = {http://eudml.org/doc/282691},
volume = {172},
year = {2002},
}

TY - JOUR
AU - Francis X. Connolly
AU - Stratos Prassidis
TI - On the exponent of the cokernel of the forget-control map on K₀-groups
JO - Fundamenta Mathematicae
PY - 2002
VL - 172
IS - 3
SP - 201
EP - 216
AB - 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.
LA - eng
KW - controlled -theory; nil groups; Farrell-Jones isomorphism
UR - http://eudml.org/doc/282691
ER -