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arXiv · 2310.01592

Locally isotropic elementary groups

Egor Voronetsky
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Abstract

We construct elementary subgroups of all reductive groups of the local isotropic rank $\geq 2$ over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank $\geq 3$ at every prime ideal.

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Egor Voronetsky. 2023-10-02. Locally isotropic elementary groups. https://doi.org/10.1090/spmj%2F1852

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