Geodesic
Stability results for Houghton groups
Patzt, Peter1 ; Wu, Xiaolei2
1Institut für Mathematik, Freie Universität, 14195 Berlin, Germany
2Max Planck Institute for Mathematics, 53111 Bonn, Germany
Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2365-2377
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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.

DOI : 10.2140/agt.2016.16.2365
Classification : 18D10, 20J06, 55U05
Keywords: homology stability, representation stability, Houghton groups

Patzt, Peter  1   ; Wu, Xiaolei  2

1 Institut für Mathematik, Freie Universität, 14195 Berlin, Germany
2 Max Planck Institute for Mathematics, 53111 Bonn, Germany 
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Patzt, Peter; Wu, Xiaolei. Stability results for Houghton groups. Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2365-2377. doi: 10.2140/agt.2016.16.2365

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