English

$H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional

Group Theory 2015-06-10 v1

Abstract

We prove that H2(SL3(Z[t]);Q)H^2(SL_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 SL3(Q((t1)))SL_3(\mathbb{Q}((t^{-1}))) and a Morse function from Bux-K\"ohl-Witzel.

Cite

@article{arxiv.1506.03017,
  title  = {$H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional},
  author = {Morgan Cesa and Brendan Kelly},
  journal= {arXiv preprint arXiv:1506.03017},
  year   = {2015}
}
R2 v1 2026-06-22T09:50:23.275Z