Automorphisms of Chevalley groups of different types over commutative rings

Details Automorphisms of Chevalley groups of different types over commutative rings Automorphisms of Chevalley groups of different types over commutative rings

2011-08-02

arxiv.org/abs/1108.0529v1

Mathematics

Group Theory

23 pages

Scientific paper

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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