2015/09/30 by Peter Patzt, Xiaolei Wu
Mathematics · #Advanced Operator Algebra Research #Constant (computer programming) #Finitely-generated abelian group #Geometric and Algebraic Topology #Group (periodic table) #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Noetherian #Stability (learning theory) #math.AT #msc:20J06 #msc:55U05 #msc:57Q55
paper · pdf · doi:10.2140/agt.2016.16.2365
published as Algebr. Geom. Topol. 16 (2016) 2365-2377 · Added more detail in the proof of Propostion 1.12. Several other minor changes
arxiv created 2016/02/15 · openalex created_date 2016/06/24 · openalex publication_date 2016/09/12 · arxiv updated 2016/09/21 · openalex updated_date 2026/08/05
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 FI-module.