Improved K1-stability for the embedding D5 into E6

DOI10.1080/00927872.2020.1775239zbMath1441.19005arXiv1912.09325OpenAlexW3036319660MaRDI QIDQ5119207

Pavel Gvozdevsky

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09325

zbMATH Keywords

Chevalley groupelementary subgroupsurjective stability\(K_1\)-functor

Mathematics Subject Classification ID

Linear algebraic groups over adèles and other rings and schemes (20G35) Exceptional groups (20G41) Stability for linear groups (19B14)

Related Items (4)

Width of SL(n,𝒪_S,I) ⋮ Bounded reduction of orthogonal matrices over polynomial rings ⋮ Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\) ⋮ Bounded generation and commutator width of Chevalley groups: function case

Cites Work

• Absolute stable rank and Witt cancellation for noncommutative rings
• Stabilization theorem for the Milnor \(K_ 2-\)functor
• Stability for quadratic \(K_1\)
• Stability for Hermitian \(K_1\)
• A third look at weight diagrams
• Chevalley groups of polynomial rings over Dedekind domains
• Stable range in commutative rings
• Relativizing functors on rings and algebraic K-theory
• \(K\)-theory and stable algebra
• Can one see the signs of structure constants?
• SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY
• Visual Basic Representations
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
• STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• On normal subgroups of Chevalley groups over commutative rings
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