Geodesic
Identities with permutations associated with quasigroups isotopic to groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 19-24

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In this note we select a class of identities with permutations including three variables in a quasigroup $(Q,\cdot)$ each of which provides isotopy of this quasigroup to a group and describe a class of identities in a primitive quasigroup $(Q,\cdot,\backslash,/)$ each of which is sufficient for the quasigroup $(Q,\cdot)$ to be isotopic to a group. From these results it follows that in the identity of $V$. Belousov [6] characterizing a quasigroup isotopic to a group (to an abelian group) two from five (one of four) variables can be fixed. 
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     author = {G. Belyavskaya},
     title = {Identities with permutations associated with quasigroups isotopic to groups},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {19--24},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
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G. Belyavskaya. Identities with permutations associated with quasigroups isotopic to groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 19-24. http://geodesic.mathdoc.fr/item/BASM_2007_2_a1/