Oriented Steiner loops

Karl Strambach, Izabella Stuhl

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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. In the final section we classify the non-rigid oriented Steiner loops of order 16 and 20.

Original languageEnglish (US)
Pages (from-to)131-145
Number of pages15
JournalBeitrage zur Algebra und Geometrie
Volume54
Issue number1
DOIs
StatePublished - Mar 1 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Fingerprint Dive into the research topics of 'Oriented Steiner loops'. Together they form a unique fingerprint.

Cite this