%0 Journal Article
%T On the Structure of the $q$-Fano Plane
%A Tuvi Etzion
%J Mathematics
%D 2015
%I arXiv
%X The $q$-Fano plane is the $q$-analog of the Steiner system $S(2,3,7)$. For any given prime power $q$ it is not known whether the $q$-Fano plane exists or not. We consider the structure of the $q$-Fano plane for any given $q$ and conclude that most of its structure is known. Even so, we were unable to determine whether it exists or not. A special attention is given for the case $q=2$ which was considered by most researchers before.
%U http://arxiv.org/abs/1508.01839v2