Existence of f-pyramidal STS(v) over abelian groups is settled for all f > 3 via constructions of difference families relative to suitable partial spreads.
Mishima, The spectrum of 1-rotational Steiner triple systems over a dicyclic group, Discrete Math
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The existence of pyramidal Steiner triple systems over abelian groups
Existence of f-pyramidal STS(v) over abelian groups is settled for all f > 3 via constructions of difference families relative to suitable partial spreads.