Stability results for Houghton groups
Algebraic Topology
2016-09-21 v2
Abstract
We prove homological stability for a twisted version of the Houghton groups and their multidimensional analogues. Based on this, we can describe the homology of the Houghton groups and that of their multidimensional analogues over constant noetherian coefficients as an essentially finitely generated -module.
Cite
@article{arxiv.1509.07639,
title = {Stability results for Houghton groups},
author = {Peter Patzt and Xiaolei Wu},
journal= {arXiv preprint arXiv:1509.07639},
year = {2016}
}
Comments
Added more detail in the proof of Propostion 1.12. Several other minor changes