Naslov
Finite hexagonal quasigroups

Autori
Bombardelli, Mea

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Treći hrvatski matematički kongres / - Split : Hrvatsko matematičko društvo, 2004, 24-24

Skup
Treći hrvatski matematički kongres

Mjesto i datum
Split, Hrvatska, 16.06.2004. - 18.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
quasigroup

Sažetak
Hexagonal quasigroups are idempotent, medial and semisymmetric quasigroups. Some basic examples are given, and products and subquasigroups of hexagonal quasigroups are discussed. Commutative hexagonal quasigroups are classified, and hexagonal quasigroups generated by cyclic groups are explored. It is known that a hexagonal quasigroup can be obtained from any Abelian group G allowing automorphism $\phi$ such that for all $x\in G$, $\phi\circ\phi(x) - \phi(x) + x = 0$. It is proven that such an automorphism exists on certain subgroups of such group G, also. Finally, the question of possible orders of the hexagonal quasigroups is answered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA