The cohomological restriction map and FP-infinity groups

Details The cohomological restriction map and FP-infinity groups The cohomological restriction map and FP-infinity groups

2009-11-17

arxiv.org/abs/0911.3267v2

Mathematics

K-Theory and Homology

17 pagees

Scientific paper

We ask, following Bartholdi, whether it is true that the kernel of the restriction map from the cohomology of a group G to the cohomology of a finite index subgroup H is finitely generated as an ideal. We show that in case the group has virtual finite cohomological dimension it is true, and we will show that if G does not have virtual finite cohomological dimension it might not be true, even in case G is an FP infinity group.

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