% borovik.tex, 5.02.07
\titleofpresentation{Black box groups and groups of finite Morley rank}

\presenter{Alexandre Borovik}  %  Name just one speaker, please; collaborators
            %  can be credited in the body of the abstract.

My talk is a brief survey of strange and still  mysterious
connections between the theory of groups of finite Morley rank
\cite{bbc} and a chapter of computational group theory known as
\emph{black box recognition of finite groups}
\cite{sukru1,sukru2,yalcinkaya}.

I will also briefly mention a new development: theory of
asymptotic classes and measurable theories \cite{em,ms} which
suggest a new bridge between the theory of finite simple groups
and model theory of groups.





\begin{ourbiblio}{99}  %  Delete this environment if you
               %  aren't giving a bibliography.



\bibitem{sukru1} L.~Babai, W.~M.~Kantor, P.~P.~Palfy, A.~Seress, \textit{Black-box recognition of finite simple groups of Lie type by statistics of element orders}, J. Group Theory 5, 2002, 383–401.

\bibitem{sukru2} A.~V.~Borovik, \textit{Centralisers of involutions in black box groups}, Contemp.\ Math., 298, Amer. Math. Soc., Providence, RI, 2002,
 7--20.

\bibitem{bbc} A.~V.~Borovik, J. Burdges, and G.~Cherlin, \textit{Involutions in groups of finite Morley rank of degenerate
type}, to appear in Selecta Math.

\bibitem{em} R. Elwes and D. Macpherson, \textit{A survey of asymptotic classes and measurable
structures}, preprint, available at\\
\texttt{http://www.amsta.leeds.ac.uk/pure/staff/macpherson/hdm36.pdf}.

\bibitem{ms} H.D. Macpherson and C. Steinhorn, \textit{One-dimensional asymptotic classes of finite
structures}, to appear in Trans.\ Amer.\ Math.\ Soc.

\bibitem{yalcinkaya} \c{S}. Yal\c{c}\i nkaya, \textit{Black box recognition of finite groups and related group theoretic
constructions}, in preparation.

\end{ourbiblio}

\presenteraddress{University of Manchester}  % The name of a university is fine.

\email{borovik@manchester.ac.uk}

\web{www.maths.manchester.ac.uk/~avb/}  % Those without homepages should delete this.

