Automorphisms of Twisted Chevalley Groups of type ² D_ℓ (ℓ ≥ 4) over Local Rings

2026/08/03 by Elena I. Bunina, Deep H. Makadiya
Mathematics · #math.GR #msc:20G35

paper · pdf

42 pages

arxiv created 2026/08/03 · arxiv updated 2026/08/04

Abstract

This paper is part of a series devoted to the classification of isomorphisms and automorphisms of twisted Chevalley groups over commutative rings. In this work, we prove that every automorphism of a twisted Chevalley group of type ² D_ℓ (ℓ \geqslant 4) over a local ring containing 1/2 is standard.

Citations

• Triangular and Unitriangular Factorization of Twisted Chevalley Groups
• Normalizer of twisted Chevalley groups over commutative rings
• On normal subgroups of twisted Chevalley groups over commutative rings
• Automorphisms of Chevalley groups over commutative rings
• Automorphisms of Chevalley groups of different types over commutative rings
• 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 type F₄ over local rings with 1/2
• Automorphisms of Chevalley groups of types B₂ and G₂ over local rings
• Automorphisms of elementary adjoint Chevalley groups of types A_l, D_l, E_l over local rings with 1/2