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.

arXiv comment22 pages, 1 figure

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Cited by in corpus (4)

• The stable cohomology of self-equivalences of connected sums of products of spheres
• Algebraic models for classifying spaces of fibrations
• Non-vanishing unitary cohomology of low-rank integral special linear groups
• Some rational homology computations for diffeomorphisms of odd-dimensional manifolds