Lucien Clavier
Enumeration of nilpotent loops up to isotopy

Comment.Math.Univ.Carolin. 53,2 (2012) 159-177.

Abstract:We modify tools introduced in [Daly D., Vojt\v echovsk\'y P., {\it Enumeration of nilpotent loops via cohomology\/}, J. Algebra {\bf 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.

Keywords: loop, nilpotent, enumeration, cohomology, isomorphy, isotopy
AMS Subject Classification: 20N05