Izabella Stuhl
University of Debrecen, Hungary
Oriented Steiner loops.
Abstract: We study oriented Steiner loops L which are strictly related to oriented Steiner triple systems and discuss thoroughly the interplay between the structure of these Steiner triple systems and the properties of L. We describe the groups generated by the left, right and all translations of L and show how the group of automorphisms of L is related to the automorphism group and to the blocking subsystems of the corresponding Steiner triple system.