Automorphisms of Chevalley groups of types A_l, D_l, E_l over local rings without 1/2

2010/02/05 by E. I. Bunina, Bunina, E. I. · 1 citation
Computer Science · Mathematics · #20G35 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:20G35

paper · pdf · doi:10.48550/arxiv.1002.1266

arxiv created 2010/02/05 · openalex publication_date 2010/02/05 · arxiv updated 2010/02/26 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In the given paper we prove that every automorphism of a Chevalley group of type A_l, D_l, or E_l, l\geqslant 3, over a commutative local ring without 1/2 is standard, i. e., it is a composition of ring, inner, central and graph automorphisms.

Citations

• 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

Cited by

• Automorphisms and isomorphisms of Chevalley groups of type G₂ over local rings with 1/2 and 1/3
• Automorphisms of Chevalley groups of different types over commutative rings

Related

• Automorphisms of Chevalley groups of types A_l, D_l, E_l over local rings with 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