Automorphisms of Chevalley groups of type F₄ over local rings with 1/2

2009/07/31 by E. I. Bunina, Bunina, E. I. · 3 citations
Computer Science · Mathematics · #20H25 #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:20H25

paper · pdf · doi:10.48550/arxiv.0907.5592

23 pages

arxiv created 2009/07/31 · openalex publication_date 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 a Chevalley group of type F₄ over a commutative local ring with~1/2 is standard, i. e., it is a composition of ring and inner automorphisms.

Cited by

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

Related

• Automorphisms of Chevalley groups of type B_l over local rings with 1/2
• 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 and isomorphisms of Chevalley groups of type G₂ over local rings with 1/2 and 1/3
• Automorphisms of Chevalley groups of types B₂ and G₂ over local rings