English

Parastrophes of quasigroups

Rings and Algebras 2016-02-15 v1

Abstract

Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.

Keywords

Cite

@article{arxiv.1602.04134,
  title  = {Parastrophes of quasigroups},
  author = {Wieslaw A. Dudek},
  journal= {arXiv preprint arXiv:1602.04134},
  year   = {2016}
}