English

Enumeration of nilpotent loops up to isotopy

Group Theory 2012-08-29 v2

Abstract

We modify tools introduced by Daniel Daly and Petr Vojtechovsky in order to count, for any odd prime q, the number of nilpotent loops of order 2q up to isotopy, instead of isomorphy.

Keywords

Cite

@article{arxiv.1201.5659,
  title  = {Enumeration of nilpotent loops up to isotopy},
  author = {Lucien Clavier},
  journal= {arXiv preprint arXiv:1201.5659},
  year   = {2012}
}

Comments

20 pages; important typos corrected (section 6)