Geodesic
Symmetries in hexagonal quasigroups
Archivum mathematicum, Tome 43 (2007) no. 2, pp. 123-132

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
Classification : 20N05
Keywords: quasigroup; hexagonal quasigroup; symmetry 
Volenec, Vladimír; Bombardelli, Mea. Symmetries in hexagonal quasigroups. Archivum mathematicum, Tome 43 (2007) no. 2, pp. 123-132. http://geodesic.mathdoc.fr/item/ARM_2007_43_2_a3/
@article{ARM_2007_43_2_a3,
     author = {Volenec, Vladim{\'\i}r and Bombardelli, Mea},
     title = {Symmetries in hexagonal quasigroups},
     journal = {Archivum mathematicum},
     pages = {123--132},
     year = {2007},
     volume = {43},
     number = {2},
     mrnumber = {2336964},
     zbl = {1156.20066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007_43_2_a3/}
}
TY  - JOUR
AU  - Volenec, Vladimír
AU  - Bombardelli, Mea
TI  - Symmetries in hexagonal quasigroups
JO  - Archivum mathematicum
PY  - 2007
SP  - 123
EP  - 132
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_2007_43_2_a3/
LA  - en
ID  - ARM_2007_43_2_a3
ER  - 
%0 Journal Article
%A Volenec, Vladimír
%A Bombardelli, Mea
%T Symmetries in hexagonal quasigroups
%J Archivum mathematicum
%D 2007
%P 123-132
%V 43
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_2007_43_2_a3/
%G en
%F ARM_2007_43_2_a3

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

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

[3] Volenec V.: Hexagonal quasigroups. Arch. Math. (Brno), 27a (1991), 113–122. | MR | Zbl

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

[5] Bombardelli M., Volenec V.: Vectors and transfers in hexagonal quasigroups. to be published in Glas. Mat. Ser. III. | MR