$E_\infty$-cells and general linear groups of finite fields
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866917895570718720 |
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| author | Galatius, Soren Kupers, Alexander Randal-Williams, Oscar |
| author_facet | Galatius, Soren Kupers, Alexander Randal-Williams, Oscar |
| contents | We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of $E_\infty$-algebras, guided by computations of homology with coefficients in the $E_1$-split Steinberg module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_11931 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | $E_\infty$-cells and general linear groups of finite fields Galatius, Soren Kupers, Alexander Randal-Williams, Oscar Algebraic Topology 18F25, 55P48 We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of $E_\infty$-algebras, guided by computations of homology with coefficients in the $E_1$-split Steinberg module. |
| title | $E_\infty$-cells and general linear groups of finite fields |
| topic | Algebraic Topology 18F25, 55P48 |
| url | https://arxiv.org/abs/1810.11931 |