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Search: MSC category 19A31 ( \$K_0\$ of group rings and orders )

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1. CMB 2002 (vol 45 pp. 180)

Connolly, Francis X.; Prassidis, Stratos
 On the Exponent of the \${\nk}_0\$-Groups of Virtually Infinite Cyclic Groups It is known that the \$K\$-theory of a large class of groups can be computed from the \$K\$-theory of their virtually infinite cyclic subgroups. On the other hand, Nil-groups appear to be the obstacle in calculations involving the \$K\$-theory of the latter. The main difficulty in the calculation of Nil-groups is that they are infinitely generated when they do not vanish. We develop methods for computing the exponent of \${\nk}_0\$-groups that appear in the calculation of the \$K_0\$-groups of virtually infinite cyclic groups. Categories:18F25, 19A31

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