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Normal subgroups of the general linear groups over von Neumann regular rings


Author: L. N. Vaserstein
Journal: Proc. Amer. Math. Soc. 96 (1986), 209-214
MSC: Primary 16A30; Secondary 16A54, 18F25, 19B14, 20H25
DOI: https://doi.org/10.1090/S0002-9939-1986-0818445-7
MathSciNet review: 818445
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Abstract: Let $ A$ be a von Neumann regular ring or, more generally, let $ A$ be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of $ {\text{G}}{{\text{L}}_n}A,n \geq 3$, which are normalized by elementary matrices.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0818445-7
Article copyright: © Copyright 1986 American Mathematical Society

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