
\titleofpresentation{On fixed point free action}

\presenter{G\"ulin Ercan}  %  Name just one speaker, please; collaborators
			%  can be credited in the body of the abstract.

%  [Body of abstract goes here.]


Let $A$ be a finite group acting on a (solvable) group $G$ fixed point freely. 
A long standing conjecture is that then the Fitting height of $G$ is bounded
by the longest chain of subgroups of $A$. 
Even though this conjecture is known to hold for large classes of groups 
$A$ when $(|G|,|A|)=1$, it is still not much known without this condition.
In this presentation the above conjecture without the coprimeness condition will be discussed.

This is joint work with \.Ismail \c S. G\"ulo\u glu.


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\presenteraddress{Middle East Technical University}  % The name of a university is fine.

\email{ercan@metu.edu.tr}
