naa a22 4500 510736688 CHVBK 20180411083012.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s13366-012-0119-1 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0119-1 Oriented Steiner loops [Elektronische Daten] [Karl Strambach, Izabella Stuhl] 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. In the final section we classify the non-rigid oriented Steiner loops of order 16 and 20. The Managing Editors, 2012 Oriented Steiner loops nationallicence Oriented Steiner triple systems nationallicence Extensions by Steiner loops nationallicence Blocking subsystems nationallicence Strambach Karl Department Mathematik, FAU Erlangen-Nürnberg, Cauerstr. 11, 91058, Erlangen, Germany aut Stuhl Izabella University of Debrecen, 4010, Debrecen, Hungary aut Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 131-145 0138-4821 54:1<131 2013 54 13366 https://doi.org/10.1007/s13366-012-0119-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0119-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Strambach Karl Department Mathematik, FAU Erlangen-Nürnberg, Cauerstr. 11, 91058, Erlangen, Germany aut NATIONALLICENCE 700 1- Stuhl Izabella University of Debrecen, 4010, Debrecen, Hungary aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 131-145 0138-4821 54:1<131 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer