Improved homological stability for certain general linear groups. (English) Zbl 1537.19001
Summary: 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.
{© 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.}
{© 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.}
MSC:
| 19B14 | Stability for linear groups |
| 55P48 | Loop space machines and operads in algebraic topology |
| 20J05 | Homological methods in group theory |
Software:
MathOverflowReferences:
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