Steiner loops satisfying the statement of Moufang's theorem

Maria De Lourdes Merlini Giuliani, Giliard Souza Dos Anjos, Charles Colbourn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Andrew Rajah posed at the Loops'11 Conference in Trest, Czech Republic, the following conjecture: Is every variety of loops that satisfies Moufang's theorem contained in the variety of Moufang loops? This paper is motivated by that problem. We give a partial answer to this question and present two types of Steiner loops, one that satisfies Moufang's theorem and another that does not, and neither is Moufang loop.

Original languageEnglish (US)
Pages (from-to)103-108
Number of pages6
JournalQuasigroups and Related Systems
Issue number1
StatePublished - 2016


  • Moufang loop
  • Moufang theorem
  • Steiner loop

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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