Geodesic
The free commutative automorphic $2$-generated loop of nilpotency class $3$
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 321-336

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A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic $2$-generated loop of nilpotency class $3$. It has dimension $8$ over the integers.
Classification : 20N05
Keywords: free commutative automorphic loop; automorphic loop; associator calculus 
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     title = {The free commutative automorphic $2$-generated loop of nilpotency class $3$},
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Barros, Dylene Agda Souza de; Grishkov, Alexander; Vojtěchovský, Petr. The free commutative automorphic $2$-generated loop of nilpotency class $3$. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 321-336. http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a0/