Bi-embeddings of the projective space PG(3,2)

Bennett, G. K.; Grannell, M. J. and Griggs, T. S. (2000). Bi-embeddings of the projective space PG(3,2). Journal of Statistical Planning and Inference, 86(2) pp. 321–329.

DOI: https://doi.org/10.1016/S0378-3758(99)00115-9

Abstract

We prove that, up to isomorphism, there is a unique embedding of the point-line design $PG(3,2)$ with itself in an orientable surface. In addition we prove that there are just three pairwise non-isomorphic embeddings of $PG(3,2)$ with itself in a non-orientable surface.