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

2007/02/02 by E. I. Bunina, Bunina, E. I. · 2 citations
Mathematics · #20H25 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20H25

paper · pdf · doi:10.48550/arxiv.math/0702046

19 pages

openalex publication_date 2007/02/02 · arxiv created 2009/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper we prove that every automorphism of and elementary adjoint Chevalley group of types A_l, D_l, or E_l, over local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of the Chevalley group in \GL(V) (V is the adjoint representation space).

Cited by

• Automorphisms of Twisted Chevalley Groups of type ² D_ℓ (ℓ ≥ 4) over Local Rings
• Automorphisms of Chevalley groups of different types over commutative\n 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 types A_l, D_l, E_l over local rings without 1/2
• Automorphisms of Chevalley groups of types B₂ and G₂ over local rings
• 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