Biembeddings of 2-Rotational Steiner Triple Systems

M. J. Grannell; J. Z. Schroeder

doi:10.37236/4691

M. J. Grannell
J. Z. Schroeder

Keywords: Topological embedding, Steiner triple system, Heffter difference set

Abstract

It is shown that for $v\equiv 1$ or 3 (mod 6), every pair of Heffter difference sets modulo $v$ gives rise to a biembedding of two 2-rotational Steiner triple systems of order $2v+1$ in a nonorientable surface.