Geodesic
Enumeration of nilpotent loops up to isotopy
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 159-177.

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We modify tools introduced in [Daly D., Vojtěchovský P., Enumeration of nilpotent loops via cohomology, J. Algebra 322 (2009), no. 11, 4080--4098] to count, for any odd prime $q$, the number of nilpotent loops of order $2q$ up to isotopy, instead of isomorphy.
Classification : 20N05
Keywords: loop; nilpotent; enumeration; cohomology; isomorphy; isotopy 
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     author = {Clavier, Lucien},
     title = {Enumeration of nilpotent loops up to isotopy},
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     zbl = {1255.20057},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a0/}
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Clavier, Lucien. Enumeration of nilpotent loops up to isotopy. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 159-177. http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a0/