Geodesic
On the Exponent of the NK0-Groups of Virtually Infinite Cyclic Groups
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 180-195

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DOI

It is known that the $K$ -groups that appear in the calculation of 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 $\text{N}{{\text{K}}_{0}}$ -groups that appear in the calculation of the ${{K}_{0}}$ -groups of virtually infinite cyclic groups.
DOI : 10.4153/CMB-2002-021-0
Mots-clés : 18F25, 19A31 
Connolly, Francis X.; Prassidis, Stratos. On the Exponent of the NK0-Groups of Virtually Infinite Cyclic Groups. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 180-195. doi: 10.4153/CMB-2002-021-0
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     title = {On the {Exponent} of the {NK0-Groups} of {Virtually} {Infinite} {Cyclic} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {180--195},
     year = {2002},
     volume = {45},
     number = {2},
     doi = {10.4153/CMB-2002-021-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-021-0/}
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