The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910098396282880 |
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| author | Rahm, Alexander D. Bui, Anh Tuan Wendt, Matthias |
| author_facet | Rahm, Alexander D. Bui, Anh Tuan Wendt, Matthias |
| contents | In the present paper, we use discrete Morse theory to provide a new implementation of torsion subcomplex reduction for arithmetic groups. This leads both to a simpler algorithm as well as runtime improvements. To demonstrate the technique, we compute the mod 2 Farrell-Tate cohomology of PSL(4,Z). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory Rahm, Alexander D. Bui, Anh Tuan Wendt, Matthias K-Theory and Homology In the present paper, we use discrete Morse theory to provide a new implementation of torsion subcomplex reduction for arithmetic groups. This leads both to a simpler algorithm as well as runtime improvements. To demonstrate the technique, we compute the mod 2 Farrell-Tate cohomology of PSL(4,Z). |
| title | The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2507.15368 |