Free Steiner triple systems and their automorphism groups

Alexander Grishkov, Diana Rasskazova, Marina Rasskazova, Izabella Stuhl

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The paper is devoted to the study of free objects in the variety of Steiner loops and of the combinatorial structures behind them, focusing on their automorphism groups. We prove that all automorphisms are tame and the automorphism group is not finitely generated if the loop is more than 3-generated. For the free Steiner loop with three generators we describe the generator elements of the automorphism group and some relations between them.

Original languageEnglish (US)
Article number1550025
JournalJournal of Algebra and its Applications
Volume14
Issue number2
DOIs
StatePublished - Mar 29 2015

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

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