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Abstract
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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
–module.
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Keywords
homology stability, representation stability, Houghton
groups
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Mathematical Subject Classification 2010
Primary: 18D10, 20J06, 55U05
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Publication
Published: 12 September 2016
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