Connected quandles and transitive groups

• Alexander Hulpke ^[1] ; David Stanovský ^[2] ; Petr Vojtěchovský ^[3]
  1. [1] Colorado State University

     Colorado State University

     Estados Unidos

     
  2. [2] Charles University in Prague

     Charles University in Prague

     Chequia

     
  3. [3] University of Denver

     University of Denver

     Estados Unidos

     

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• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 735-758
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.07.014
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• Resumen

  • We establish a canonical correspondence between connected quandles and certain configurations in transitive groups, called quandle envelopes. This correspondence allows us to efficiently enumerate connected quandles of small orders, and present new proofs concerning connected quandles of order p and 2p. We also present a new characterization of connected quandles that are affine.