Automorphisms and isomorphisms of Chevalley groups of type $G_2$ over local rings with 1/2 and 1/3

Details Automorphisms and isomorphisms of Chevalley groups of type $G_2$ over local rings with 1/2 and 1/3 Automorphisms and isomorphisms of Chevalley groups of type $G_2$ over local rings with 1/2 and 1/3

2009-07-31

arxiv.org/abs/0907.5594v2

Mathematics

Group Theory

18 pages

Scientific paper

We prove that every isomorphism of Chevalley groups of type $G_2$ over
commutative local rings with 1/2 and 1/3 is standard, i. e., it is a
composition of a ring isomorphism and an inner automorphism.

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