Improved homological stability for certain general linear groups

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.

22 pages, 1 figure

References in corpus (1)

• On the generalized Bykovskii presentation of Steinberg modules

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