Alexander Hulpke, David Stanovský, Petr Vojtěchovský
Published 2014-09-08Version 1
Building on ideas of Galkin, we establish a canonical representation of connected quandles as certain configurations in transitive groups, called quandle envelopes. This characterization allows us to efficiently enumerate connected quandles of small orders, and present new proofs concerning connected quandles of order p and 2p. We also characterize affine connected quandles.
On some groupoids of small orders with Bol-Moufang type of identities
Sharply $2$-transitive groups
\emph{Addendum to} Sharply $2$-transitive groups of characteristic~$0$ [arXiv:1604.00573]
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