#### Volume 16, issue 4 (2016)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Stability results for Houghton groups

### Peter Patzt and Xiaolei Wu

Algebraic & Geometric Topology 16 (2016) 2365–2377
##### 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 $\mathsf{FI}$–module.

##### Keywords
homology stability, representation stability, Houghton groups
##### Mathematical Subject Classification 2010
Primary: 18D10, 20J06, 55U05
##### Publication
Published: 12 September 2016
##### Authors
 Peter Patzt Institut für Mathematik Freie Universität 14195 Berlin Germany Xiaolei Wu Max Planck Institute for Mathematics 53111 Bonn Germany