H²(SL₃(mathbb{Z}[t]); mathbb{Q}) is infinite dimensional
classification
🧮 math.GR
keywords
mathbbdimensionalinfinitebuildingbux-kcobbeuclideanfollows
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We prove that $H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional. The proof follows an outline similar to recent results by Cobb, Kelly, and Wortman, using the Euclidean building for $SL_3(\mathbb{Q}((t^{-1})))$ and a Morse function from Bux-K\"ohl-Witzel.
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