Algebraic & Geometric Topology

Stability results for Houghton groups

Peter Patzt and Xiaolei Wu

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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.

Article information

Source
Algebr. Geom. Topol., Volume 16, Number 4 (2016), 2365-2377.

Dates
First available in Project Euclid: 28 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1511895917

Digital Object Identifier
doi:10.2140/agt.2016.16.2365

Mathematical Reviews number (MathSciNet)
MR3546468

Zentralblatt MATH identifier
1352.18003

Subjects
Primary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23] 20J06: Cohomology of groups 55U05: Abstract complexes

Keywords
homology stability representation stability Houghton groups

Citation

Patzt, Peter; Wu, Xiaolei. Stability results for Houghton groups. Algebr. Geom. Topol. 16 (2016), no. 4, 2365--2377. doi:10.2140/agt.2016.16.2365. https://projecteuclid.org/euclid.agt/1511895917


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