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Preprint Number 2389

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2389. Elena Bunina
Automorphisms of Chevalley groups over commutative rings
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Submission date: 26 April 2023

Abstract:

In this paper we prove that every automorphism of (elementary) Chevalley group with root system of rank >1 over a commutative ring (with 1/2 for the systems A_2, F_4, B_l, C_l; with 1/2 and 1/3 for the system G_2) is standard, i.e., it is a composition of ring, inner, central and graph automorphisms.

Mathematics Subject Classification: 20G07

Keywords and phrases:

Full text arXiv 2304.13447: pdf, ps.


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