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European Journal of Combinatorics, Vol. 30, No. 5. (July 2009), pp. 1382-1385, doi:10.1016/j.ejc.2008.09.025 Key: citeulike:4572575
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We show that a Buchsteiner quasigroup is necessarily a loop but that there exist proper conjugacy-closed quasigroups. This completes the investigation of quasigroups which satisfy identities corresponding to ones for loops obtainable by nuclear amalgamation. Also, we determine in terms of autotopisms the consequence for a quasigroup of Bol–Moufang type of having an inverse property.
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