Automorphisms of Chevalley groups of types A_l, D_l, E_l over local rings with 1/2

2009/07/31 by E. I. Bunina, Bunina, E. I. · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Coding theory and cryptography #Finite Group Theory Research #math.GR #math.RA #msc:20H25

paper · pdf · doi:10.48550/arxiv.0907.5595

18 pages

arxiv created 2009/08/09 · arxiv updated 2009/12/01

Abstract

In the paper we prove that every automorphism of a (elementary) Chevalley group of type A_l, D_l, or E_l, l\geqslant 2, over a commutative local ring with 1/2 is standard, i. e., is the composition of inner, ring, graph and central automorphisms.

Cited by

• Automorphisms of Twisted Chevalley Groups of type ² D_ℓ (ℓ ≥ 4) over Local Rings

Related

• Automorphisms of Chevalley groups of types A_l, D_l, E_l over local rings without 1/2
• Automorphisms of Chevalley groups of type B_l over local rings with 1/2
• Automorphisms of Chevalley groups of type F₄ over local rings with 1/2
• Automorphisms of Chevalley groups of types B₂ and G₂ over local rings
• Automorphisms and isomorphisms of Chevalley groups of type G₂ over local rings with 1/2 and 1/3