The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields
Published online by Cambridge University Press: 24 October 2008
Extract
Let q be a prime power, which will be fixed throughout the paper, let k be a field, and let be the field with q elements. Let Gn(k) be the general linear group GL(n, k), and Sn(k) the special linear group SL(n, k). The corresponding groups over will be denoted simply by Gn and Sn. We may embed Gn(k) in Gn+1(k) via the map
Forming the direct limit of the resulting system, we obtain the stable general linear groupG∞(k) over k.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 1 , July 1994 , pp. 7 - 25
- Copyright
- Copyright © Cambridge Philosophical Society 1994
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