%0 Journal Article
%T Omissible extensions of $SL_2(k)$ where $k$ is a field of positive characteristic
%A Martyn Dixon
%A Martin Evans
%A Howard Smith
%J International Journal of Group Theory
%D 2013
%I University of Isfahan
%X A normal subgroup $N$ of a group $G$ is said to be an$emph{omissible}$ subgroup of $G$ if it has the following property: whenever $Xleq G$ is such that $G=XN$, then $G=X$.In this note we construct various groups $G$, each of which has an omissible subgroup $Nneq 1$ such that $G/Ncong SL_2(k)$ where $k$ is a field of positive characteristic.
%K Omissible subgroup
%K special linear group
%K Frattini extension
%K locally (soluble-by-finite) group
%U http://www.theoryofgroups.ir/?_action=showPDF&article=2739&_ob=5cbd1f85252078e642252fe7f93e9285&fileName=full_text.pdf.