The cohomological restriction map and FP-infinity groups
K-Theory and Homology
2014-02-26 v2 Group Theory
Abstract
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.
Cite
@article{arxiv.0911.3267,
title = {The cohomological restriction map and FP-infinity groups},
author = {Ehud Meir},
journal= {arXiv preprint arXiv:0911.3267},
year = {2014}
}
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