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.
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
Keywords: loop; nilpotent; enumeration; cohomology; isomorphy; isotopy
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/
@article{CMUC_2012_53_2_a0,
author = {Clavier, Lucien},
title = {Enumeration of nilpotent loops up to isotopy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {159--177},
year = {2012},
volume = {53},
number = {2},
mrnumber = {3017252},
zbl = {1255.20057},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_2_a0/}
}