Groups with many finitary cohomology functors
Group Theory
2012-08-07 v1
Abstract
For a group G we consider the set of natural numbers n for which the nth cohomology functor of G commutes with filtered colimit systems of coefficient modules. We find that for the large class of hierarchically decomposable groups there is a dichotomy: this set of natural numbers is either finite or cofinite. Moreover any finite or cofinite set is shown to arise in suitable examples. A survey of recent literature on this topic, especially the work of Martin Hamilton, is included.
Cite
@article{arxiv.1208.1008,
title = {Groups with many finitary cohomology functors},
author = {P. H. Kropholler},
journal= {arXiv preprint arXiv:1208.1008},
year = {2012}
}
Comments
16 pages