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Genericity, generosity, and tori

Published online by Cambridge University Press:  07 October 2008

Gregory Cherlin
Affiliation:
Department of Mathematics, Rutgers University, Hill Center—Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA

Abstract

While the classification project for the simple groups of finite Morley rank is unlikely to produce a classification of the simple groups of finite Morley rank, the enterprise has already arrived at a considerably closer approximation to that ideal goal than could have been realistically anticipated, with a mix of results of several flavors, some classificatory and others more structural, which can be combined when the stars are suitably aligned to produce results at a level of generality which, in parallel areas of group theory, would normally require either some additional geometric structure, or an explicit classification. And Bruno Poizat is generally awesome, though sometimes he goes too far.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2008

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