Article
Keywords:
quasigroup; hexagonal quasigroup; symmetry
Summary:
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.
References:
[1] Volenec V.:
Geometry of medial quasigroups. Rad Jugoslav. Akad. Znan. Umjet. [421] 5 (1986), 79–91.
MR 0857271 |
Zbl 0599.20112
[2] Volenec V.:
Geometry of IM quasigroups. Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [456] 10 (1991), 139–146.
MR 1211606 |
Zbl 0794.51010
[4] Volenec V.:
Regular triangles in hexagonal quasigroups. Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [467] 11 (1994), 85–93.
MR 1362503 |
Zbl 0841.20063
[5] Bombardelli M., Volenec V.:
Vectors and transfers in hexagonal quasigroups. to be published in Glas. Mat. Ser. III.
MR 2376913