A general isomorphism theory for linear groups

DOI10.1016/0021-8693(77)90167-3zbMath0356.15002OpenAlexW1980171708WikidataQ56812934 ScholiaQ56812934MaRDI QIDQ1237813

O. Timothy O'Meara

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90167-3

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (21)

Isomorphisms of groups full of projective transvections ⋮ Linear groups over general rings. I: Generalities. ⋮ Geometrical characterization of Sylow p-subgroups of a bounded linear group ⋮ Automorphismengruppen freier Moduln von unendlichem Rang. (Automorphism groups of free modules of infinite rank) ⋮ Infinite steinberg groups ⋮ The isomorphism theory of projective pseudo-orthogonal groups ⋮ Isomorphisms of symplectic groups over skew fields of characteristic different from 2 ⋮ On full subgroups in the sense of O'Meara ⋮ Category equivalences and linear groups over rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Linear groups ⋮ The isomorphisms of unitary groups over noncommutative domains ⋮ Hermitian Morita Theory and Unitary Groups of Modules over Semisimple Artinian Rings ⋮ Abstract homomorphisms of algebraic groups: problems and bibliography ⋮ Aut(GL₂(R)) for rings with many units ⋮ Isomorphisms between endomorphism rings of progenerators ⋮ The Small Index Property for Free Nilpotent Groups ⋮ Automorphisms of Aut(A),Aa Free Abelian Group ⋮ Elementary equivalence of infinite-dimensional classical groups ⋮ Isomorphisms of general linear groups over rings ⋮ Hermitian Morita theory and hyperbolic unitary groups

Cites Work

• Automorphisms of group \(GL_n(\lozenge)\) for dim Max \((\lozenge)\leq n-2\)
• Automorphisms of two-dimensional congruence groups
• The structure of the infinite general linear group
• Type numbers of Eichler orders.
• Products of Transvections
• Isomorphic Groups of Linear Transformations
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua
• Linear groups
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