A structure theorem for subgroups of $GL_n$ over complete local Noetherian rings with large residual image

DOI10.1090/S0002-9939-2015-12306-4zbMath1338.20047arXiv1304.1196OpenAlexW1982530574MaRDI QIDQ5246901

Jayanta Manoharmayum

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1196

zbMATH Keywords

general linear groupsWitt ringsNoetherian ringsspecial linear groupsresidue fieldsdeformation ringscohomology of finite groups of Lie type

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Other matrix groups over rings (20H25) Cohomology theory for linear algebraic groups (20G10) Classical groups (11E57)

Related Items (4)

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS ⋮ Big images of two-dimensional pseudorepresentations ⋮ The inverse deformation problem ⋮ Images of Galois representations in mod p Hecke algebras

Cites Work

• 2-cohomologies of the groups \(\text{SL}(n,q)\).
• Cohomology of split group extensions. II
• Cohomology of finite groups of Lie type. I
• Cohomology of split group extensions
• Second cohomology for finite groups of Lie type.
• On the cohomology and K-theory of the general linear groups over a finite field
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