Connected Quandles and Transitive Groups
Primary, 57M27, Secondary, 20N02, 20B10
College of Natural Science and Mathematics, Mathematics
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.
Copyright held by author or publisher. User is responsible for all copyright compliance.
Hulpke, Alexander, et al. “Connected Quandles and Transitive Groups.” Journal of Pure and Applied Algebra, vol. 220, no. 2, 2016, pp. 735–758. doi: 10.1016/j.jpaa.2015.07.014.