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arxiv: 1108.0529 · v1 · pith:JERU63PVnew · submitted 2011-08-02 · 🧮 math.GR · math.RA

Automorphisms of Chevalley groups of different types over commutative rings

classification 🧮 math.GR math.RA
keywords automorphismschevalleycommutativeringsystemadjointautomorphismcentral
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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.

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