Automorphisms of Chevalley groups of different types over commutative rings

Abstract

In this paper we prove that every automorphism of (elementary) adjoint 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.

23 pages

References in corpus (3)

• Automorphisms of elementary adjoint Chevalley groups of types $A_l,D_l,E_l$ over local rings with 1/2
• Automorphisms of Chevalley groups of types $A_l,D_l,E_l$ over local rings without 1/2
• Automorphisms of Chevalley groups of type $F_4$ over local rings with 1/2