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Black box groups and groups of finite Morley rank

Presented by: 
A Borovik [Manchester]
Wednesday 2nd March 2005 - 11:30 to 12:30
INI Seminar Room 1

I will discuss some strange analogies between some probabilistic methods for recognition of "black box" finite groups and the theory of groups of finite Morley rank. As an application and illustration, I will give a short elementary proof of the following fact.

Let G be a group of finite Morley rank. If a Sylow 2-subgroup S of G is cyclic then S intersects trivially with the connected component of G.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons