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.
@article{10_37236_4691,
author = {M. J. Grannell and J. Z. Schroeder},
title = {Biembeddings of 2-rotational {Steiner} triple systems},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {2},
doi = {10.37236/4691},
zbl = {1311.05131},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4691/}
}
TY - JOUR
AU - M. J. Grannell
AU - J. Z. Schroeder
TI - Biembeddings of 2-rotational Steiner triple systems
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/4691/
DO - 10.37236/4691
ID - 10_37236_4691
ER -
%0 Journal Article
%A M. J. Grannell
%A J. Z. Schroeder
%T Biembeddings of 2-rotational Steiner triple systems
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/4691/
%R 10.37236/4691
%F 10_37236_4691
M. J. Grannell; J. Z. Schroeder. Biembeddings of 2-rotational Steiner triple systems. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4691