Symmetries in hexagonal quasigroups
Volenec, Vladimír ; Bombardelli, Mea
Archivum Mathematicum, Tome 043 (2007), p. 123-132 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2007-01-01
Classification:  20N05 
@article{108057,
     author = {Vladim\'\i r Volenec and Mea Bombardelli},
     title = {Symmetries in hexagonal quasigroups},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {123-132},
     zbl = {1156.20066},
     mrnumber = {2336964},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108057}
}

Volenec, Vladimír; Bombardelli, Mea. Symmetries in hexagonal quasigroups. Archivum Mathematicum, Tome 043 (2007) pp. 123-132. http://gdmltest.u-ga.fr/item/108057/

Volenec V. Geometry of medial quasigroups, Rad Jugoslav. Akad. Znan. Umjet. [421] 5 (1986), 79–91. (1986) | MR 0857271 | Zbl 0599.20112

Volenec V. Geometry of IM quasigroups, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [456] 10 (1991), 139–146. (1991) | MR 1211606 | Zbl 0794.51010

Volenec V. Hexagonal quasigroups, Arch. Math. (Brno), 27a (1991), 113–122. (1991) | MR 1189648 | Zbl 0780.20046

Volenec V. Regular triangles in hexagonal quasigroups, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. [467] 11 (1994), 85–93. (1994) | MR 1362503 | Zbl 0841.20063

Bombardelli M.; Volenec V. Vectors and transfers in hexagonal quasigroups, to be published in Glas. Mat. Ser. III. | MR 2376913