The normalizer of the elementary linear group of a module arising when the base ring is extended

DOI10.1007/s10958-018-3996-5zbMath1398.20060OpenAlexW2888518709MaRDI QIDQ1615049

Tran Ngoc Hoi, Nguyen Huu Tri Nhat

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3996-5

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms and endomorphisms (16W20) Linear algebraic groups over adèles and other rings and schemes (20G35) Infinite automorphism groups (20B27) Congruence subgroup problems (19B37)

Related Items (3)

Subgroups of the general linear group that contain elementary subgroup over a rank 2 commutative ring extension ⋮ Subgroups of Chevalley groups over rings ⋮ Normalizers of classical groups arising under extension of the base ring

Cites Work

• Structure of Chevalley groups over rings via universal localization.
• Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability
• On the overgroups of \(\text{EO}(2l,R)\).
• Subring subgroups in Chevalley groups with doubly laced root systems.
• Decomposition of transvections: A theme with variations
• Subring subgroups of symplectic groups in characteristic 2
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