Automorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local Rings

Elena I. Bunina; Deep H. Makadiya

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arXiv · 2607.22284

Automorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local Rings

Elena I. Bunina·Deep H. Makadiya

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Abstract

This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we prove that every automorphism of a twisted Chevalley group of type ${}^2A_\ell$ $(\ell \geq 5)$ over a local ring in which $2$ is invertible is standard.

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Elena I. Bunina, Deep H. Makadiya. 2026-07-24. Automorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local Rings. https://arxiv.org/abs/2607.22284

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