Stability results for Houghton groups

Peter Patzt; Xiaolei Wu

doi:10.2140/agt.2016.16.2365

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Home > Journals > Algebr. Geom. Topol. > Volume 16 > Issue 4 > Article

2016 Stability results for Houghton groups

Peter Patzt, Xiaolei Wu

Algebr. Geom. Topol. 16(4): 2365-2377 (2016). DOI: 10.2140/agt.2016.16.2365

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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 $FI$ –module.

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Peter Patzt. Xiaolei Wu. "Stability results for Houghton groups." Algebr. Geom. Topol. 16 (4) 2365 - 2377, 2016. https://doi.org/10.2140/agt.2016.16.2365