\titleofpresentation{Characterizations of Minimal Non-Solvable Fitting p-Groups}

\presenter{Ahmet Ar\i kan}  %  Name just one speaker, please; collaborators
            %  can be credited in the body of the abstract.
 Let $G$ be a minimal non-solvable Fitting $p$-group. We mainly prove
            that $G$ has $2^{\aleph_0}$ subgroups 
 and $G$ has a homomorphic image $\overline{G}$ with a proper subgroup
            $\overline{X}$ such that 
 $C_{\overline{G}}(\overline{X})=1$ which gives a generalization of
            Asar's result in [1]. We also define the solvabilizer of a
            solvable group and consider minimal 
 non-solvability problem in another context.

%  [Body of abstract goes here.]

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

\bibitem {arikanasar1} Asar A. O., {\it Locally nilpotent $p$-groups whose proper subgroups are hypercentral
 or nilpotent-by-\v{C}ernikov}. J. London Math. Soc. {\bf 61}, 412-422 (2000).

 \bibitem{arikanOl'shanskii} Ol'\v{s}hanski\v{i}, A. Yu., {\it Geometry of defining relations in groups .}  (Kluwer Academic Publishers, Dordrecht-Boston-London 1991).


\end{ourbiblio}

\presenteraddress{Gazi \"Universitesi, Gazi E\v gitim
Fak\"ultesi, Matematik E\u gitimi Anabilim
Dal\i, 06500 Teknikokullar, Ankara, Turkey}  % The name of a university is fine.

\email{arikan@gazi.edu.tr}

  

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