$H^2(S{L}_3(\mathbb{Z}[t]);\mathbb{Q})$ is infinite dimensional

Abstract

We prove that $H^2(S{L}_3(\mathbb{Z}[t]);\mathbb{Q})$ is infinite dimensional. The proof follows an outline similar to recent results by Cobb, Kelly, and Wortman, using the Euclidean building for $S{L}_3(\mathbb{Q}((t^{-1})))$ and a Morse function from Bux-Köhl-Witzel.

References in corpus (1)

• Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem