Locally isotropic elementary groups

2023/10/02 by Voronetsky, Egor · 2 citations
#20G07 #20G35 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2310.01592

Abstract

We construct elementary subgroups of all reductive groups of the local isotropic rank ≥ 2 over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank ≥ 3 at every prime ideal.

Cited by

• Locally isotropic Steinberg groups II. Schur multipliers
• Abstract isomorphisms of isotropic root graded groups over rings

Related

• Elementary subgroup of an isotropic reductive group is perfect
• Normal structure of isotropic reductive groups over rings
• Isotropic reductive groups over discrete Hodge algebras
• Centralizer of the elementary subgroup of an isotropic reductive group
• On the congruence kernel of isotropic groups over rings