On the Structure of the -Fano Plane
arXiv:1508.01839
Abstract
The -Fano plane is the -analog of the Steiner system . For any given prime power it is not known whether the -Fano plane exists or not. We consider the structure of the -Fano plane for any given 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 which was considered by most researchers before.
arXiv admin note: substantial text overlap with arXiv:1507.08503