Symmetries in hexagonal quasigroups

Vladimir Volenec, Mea Bombardelli

Address.
Department of Mathematics, Bijenicka 30, Zagreb, Croatia

E-mail.
volenec@math.hr
Mea.Bombardelli@math.hr

Abstract.
Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.

AMSclassification.
20N05.

Keywords.
Quasigroup, hexagonal quasigroup, symmetry.