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Linear Groups of Finite Morley Rank

Part of: Model theory Linear algebraic groups and related topics

Published online by Cambridge University Press:  04 April 2008

Alexandre V. Borovik
Alexandre V. Borovik
Affiliation:
School of Mathematics, University of Manchester, Oxford Street, Manchester M13 9PL, UK ([email protected])
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Abstract

This paper is a brief survey of recent results and some open problems related to linear groups of finite Morley rank, an area of research where Bruno Poizat's impact is very prominent. As a sign of respect to his strongly expressed views that mathematics has to be done, written and pulished only in the native tongue of the immediate author–the scribe, in effect–of the text, I insist on writing my paper in Russian, even if the results presented belong to a small but multilingual community of researchers of American, British, French, German, Kazakh, Russian, Turkish origin. To emphasise even further the linguistic subtleties involved, I use British spelling in the English fragments of my text.

Keywords

groupsimple grouplinear groupMorley rank

MSC classification

Secondary: 03C60: Model-theoretic algebra 20G15: Linear algebraic groups over arbitrary fields
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 7 , Issue 4 , October 2008 , pp. 641 - 651
Copyright
Copyright © Cambridge University Press 2008

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