Automorphisms of Chevalley groups of different types over commutative rings

preprint2011arXivOpen access

Abstract

In this paper we prove that every automorphism of (elementary) adjoint Chevalley group with root system of rank >1>1 over a commutative ring (with 1/2 for the systems A2A_2, F4F_4, BlB_l, ClC_l; with 1/2 and 1/3 for the system G2G_2) is standard, i.\,e., it is a composition of ring, inner, central and graph automorphisms.

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