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

2009/07/31 by E. I. Bunina, Bunina, E. I.
Mathematics · #20H25 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:20H25

paper · pdf · doi:10.48550/arxiv.0907.5594

18 pages

openalex publication_date 2009/07/31 · arxiv created 2009/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every isomorphism of Chevalley groups of type G₂ 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.

Citations

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

Related

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