On the Homological Stability of Orthogonal and Spin Groups

2022/06/02 by Schlichting, Marco, Sood, Sunny
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2206.00981

Abstract

We improve homological stability ranges for the orthogonal group, special orthogonal group, elementary orthogonal group and the spin group over a commutative local ring R with infinite residue field such that 2 ∈ R^*.

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