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Proceedings of the American Mathematical Society

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Generators and relations for the special linear group over a division ring


Author: Sherry M. Green
Journal: Proc. Amer. Math. Soc. 62 (1977), 229-232
MSC: Primary 20F05
DOI: https://doi.org/10.1090/S0002-9939-1977-0430084-3
MathSciNet review: 0430084
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Abstract: Let $ \mathcal{R}$ be a division ring, $ n \geqslant 3$ an integer, and let $ {\text{SL}}(n,\mathcal{R})$ be the special linear group over $ \mathcal{R}$. In this paper a presentation in terms of generators and relations is given for $ {\text{SL}}(n,\mathcal{R})$.


References [Enhancements On Off] (What's this?)

  • [1] John Milnor, Introduction to algebraic 𝐾-theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. Annals of Mathematics Studies, No. 72. MR 0349811

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DOI: https://doi.org/10.1090/S0002-9939-1977-0430084-3
Article copyright: © Copyright 1977 American Mathematical Society