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arXiv · 2106.12363

Improved homological stability for certain general linear groups

Alexander Kupers·Jeremy Miller·Peter Patzt
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Abstract

We prove that the general linear groups of the integers, Gaussian integers, and Eisenstein integers satisfy homological stability of slope 1 when using $\mathbb{Z}[1/2]$-coefficients and of slope $2/3$ when using $\mathbb{Z}$-coefficients.

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Alexander Kupers, Jeremy Miller, Peter Patzt. 2021-06-23. Improved homological stability for certain general linear groups. https://doi.org/10.1112/plms.12463

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