\titleofpresentation{Locally linear simple groups}

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

%  [Body of abstract goes here.]
The group algebra  $FG$  and the group $G$ are two quite different
structures (although closely related). Questions like:
\begin{quote}
Is there an element
$h$ not equal to $1$  of an extension  $H$  of  $G$  such that the
element  $1 - h$ 
belongs to the  twosided Ideal $(FH)I$ where  $I$  is a given ideal
of  $FG$?
\end{quote}
mix the two structures and ask for a
suitable larger group  $H$ (so that the ideals of
$FG$  are induced by the ideals of  $H$. (Brian Hartley  was involved in the
first paper treating this type of question, Passman: The
algebraic structure of group rings (1977),
p. 387).

\presenteraddress{Freiburg, Germany}  % The name of a university is fine.

\email{Otto.H.Kegel@t-online.de}

