Automorphisms of Twisted Chevalley Groups of type ² A_ℓ (ℓ ≥ 5) over Local Rings

2026/07/24 by Elena I. Bunina, Deep H. Makadiya
Mathematics · #math.GR

paper · pdf

Abstract

This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we prove that every automorphism of a twisted Chevalley group of type ²A_ℓ (ℓ ≥ 5) over a local ring in which 2 is invertible is standard.

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 B₂ and G₂ over local rings
• 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