Unordered resolutions and homological stability for linear groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918256834510848 |
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| author | Vasilev, Ivan Yagunov, Serge |
| author_facet | Vasilev, Ivan Yagunov, Serge |
| contents | In this paper, we develop a modified proof strategy for homological stability of linear groups, with the general linear groups serving as a primary example. Our arguments are more direct than those in the classical works of Quillen and Suslin--Nesterenko, although they apply only with localized coefficients. The localization at (n-1)! that arises in our approach appears to be closely related to several conjectures of Mirzaii as well as to Suslin's injectivity conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unordered resolutions and homological stability for linear groups Vasilev, Ivan Yagunov, Serge K-Theory and Homology 19D45, 19D50 In this paper, we develop a modified proof strategy for homological stability of linear groups, with the general linear groups serving as a primary example. Our arguments are more direct than those in the classical works of Quillen and Suslin--Nesterenko, although they apply only with localized coefficients. The localization at (n-1)! that arises in our approach appears to be closely related to several conjectures of Mirzaii as well as to Suslin's injectivity conjecture. |
| title | Unordered resolutions and homological stability for linear groups |
| topic | K-Theory and Homology 19D45, 19D50 |
| url | https://arxiv.org/abs/2512.18110 |