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An Isaac Newton Institute Programme

Model Theory and Applications to Algebra and Analysis

Finite group theory: the next generation

16th March 2005

Author: Alexandre Borovik (University of Manchester)

Abstract

The underlying methodology of the classification theory of groups of finite Morley rank is the systematic use of ideas from the Classification of Finite Simple Groups (CFSG), both from the original (first generation) papers and from the later revisionism, especially from the Third Generation Proof.

The aim of these notes is to outline some problems arising from an attempt to reverse the transfer of ideas and formulate a fragment of CFSG closest to the classification of groups of finite Morley rank and even type.