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The cohomological restriction map and FP-infinity groups

Authors
  • Meir, Ehud
Type
Preprint
Publication Date
Jun 01, 2010
Submission Date
Nov 17, 2009
Identifiers
DOI: 10.1112/blms/bdq071
Source
arXiv
License
Yellow
External links

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.

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