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arXiv · 2206.00981

On the Homological Stability of Orthogonal and Spin Groups

Marco Schlichting·Sunny Sood
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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 $2 \in R^{*}$.

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Marco Schlichting, Sunny Sood. 2022-06-02. On the Homological Stability of Orthogonal and Spin Groups. https://arxiv.org/abs/2206.00981

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